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Finding the Fourth Proportional to 16,600.83, 22,909.14 and 9,148.83

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Solution

The fourth proportional to 16,600.83, 22,909.14 and 9,148.83 is: 12,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.83 : 22,909.14 = 9,148.83 : x
  2. Step 2: Convert to fraction form
    16,600.83/22,909.14 = 9,148.83/x
  3. Step 3: Cross multiply
    16,600.83x = 22,909.14 × 9,148.83
  4. Step 4: Simplify right side
    16,600.83x = 209,591,827.31
  5. Step 5: Solve for x
    x = 209,591,827.31/16,600.83
  6. Step 6: Final answer
    x = 12,625.38

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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.