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Finding the Fourth Proportional to 16,500.36, 22,772.16 and 9,787.08

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Solution

The fourth proportional to 16,500.36, 22,772.16 and 9,787.08 is: 13,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.36 : 22,772.16 = 9,787.08 : x
  2. Step 2: Convert to fraction form
    16,500.36/22,772.16 = 9,787.08/x
  3. Step 3: Cross multiply
    16,500.36x = 22,772.16 × 9,787.08
  4. Step 4: Simplify right side
    16,500.36x = 222,872,951.69
  5. Step 5: Solve for x
    x = 222,872,951.69/16,500.36
  6. Step 6: Final answer
    x = 13,507.16

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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.