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Finding the Fourth Proportional to 16,627.38, 22,945.21 and 9,909.52

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Solution

The fourth proportional to 16,627.38, 22,945.21 and 9,909.52 is: 13,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.38 : 22,945.21 = 9,909.52 : x
  2. Step 2: Convert to fraction form
    16,627.38/22,945.21 = 9,909.52/x
  3. Step 3: Cross multiply
    16,627.38x = 22,945.21 × 9,909.52
  4. Step 4: Simplify right side
    16,627.38x = 227,376,120.07
  5. Step 5: Solve for x
    x = 227,376,120.07/16,627.38
  6. Step 6: Final answer
    x = 13,674.80

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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.