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Finding the Fourth Proportional to 16,501, 22,771.92 and 9,049

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Solution

The fourth proportional to 16,501, 22,771.92 and 9,049 is: 12,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501 : 22,771.92 = 9,049 : x
  2. Step 2: Convert to fraction form
    16,501/22,771.92 = 9,049/x
  3. Step 3: Cross multiply
    16,501x = 22,771.92 × 9,049
  4. Step 4: Simplify right side
    16,501x = 206,063,104.08
  5. Step 5: Solve for x
    x = 206,063,104.08/16,501
  6. Step 6: Final answer
    x = 12,487.92

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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.