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Finding the Fourth Proportional to 16,254.57, 22,431.15 and 9,180.84

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Solution

The fourth proportional to 16,254.57, 22,431.15 and 9,180.84 is: 12,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.57 : 22,431.15 = 9,180.84 : x
  2. Step 2: Convert to fraction form
    16,254.57/22,431.15 = 9,180.84/x
  3. Step 3: Cross multiply
    16,254.57x = 22,431.15 × 9,180.84
  4. Step 4: Simplify right side
    16,254.57x = 205,936,799.17
  5. Step 5: Solve for x
    x = 205,936,799.17/16,254.57
  6. Step 6: Final answer
    x = 12,669.47

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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.