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Finding the Fourth Proportional to 16,499,503.08, 22,768,971.64 and 9,156,909.80

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Solution

The fourth proportional to 16,499,503.08, 22,768,971.64 and 9,156,909.80 is: 12,636,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499,503.08 : 22,768,971.64 = 9,156,909.80 : x
  2. Step 2: Convert to fraction form
    16,499,503.08/22,768,971.64 = 9,156,909.80/x
  3. Step 3: Cross multiply
    16,499,503.08x = 22,768,971.64 × 9,156,909.80
  4. Step 4: Simplify right side
    16,499,503.08x = 208,493,419,546,238.09
  5. Step 5: Solve for x
    x = 208,493,419,546,238.09/16,499,503.08
  6. Step 6: Final answer
    x = 12,636,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.