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Finding the Fourth Proportional to 17,745.18, 24,487.10 and 9,787.24

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Solution

The fourth proportional to 17,745.18, 24,487.10 and 9,787.24 is: 13,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.18 : 24,487.10 = 9,787.24 : x
  2. Step 2: Convert to fraction form
    17,745.18/24,487.10 = 9,787.24/x
  3. Step 3: Cross multiply
    17,745.18x = 24,487.10 × 9,787.24
  4. Step 4: Simplify right side
    17,745.18x = 239,661,124.60
  5. Step 5: Solve for x
    x = 239,661,124.60/17,745.18
  6. Step 6: Final answer
    x = 13,505.70

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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.