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Finding the Fourth Proportional to 16,340.16, 22,549.92 and 9,265.92

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Solution

The fourth proportional to 16,340.16, 22,549.92 and 9,265.92 is: 12,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.16 : 22,549.92 = 9,265.92 : x
  2. Step 2: Convert to fraction form
    16,340.16/22,549.92 = 9,265.92/x
  3. Step 3: Cross multiply
    16,340.16x = 22,549.92 × 9,265.92
  4. Step 4: Simplify right side
    16,340.16x = 208,945,754.73
  5. Step 5: Solve for x
    x = 208,945,754.73/16,340.16
  6. Step 6: Final answer
    x = 12,787.25

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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.