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Finding the Fourth Proportional to 16,414.47, 22,650.71 and 9,699.57

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Solution

The fourth proportional to 16,414.47, 22,650.71 and 9,699.57 is: 13,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.47 : 22,650.71 = 9,699.57 : x
  2. Step 2: Convert to fraction form
    16,414.47/22,650.71 = 9,699.57/x
  3. Step 3: Cross multiply
    16,414.47x = 22,650.71 × 9,699.57
  4. Step 4: Simplify right side
    16,414.47x = 219,702,098.70
  5. Step 5: Solve for x
    x = 219,702,098.70/16,414.47
  6. Step 6: Final answer
    x = 13,384.66

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