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Finding the Fourth Proportional to 17,744.64, 24,487.29 and 9,787.59

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Solution

The fourth proportional to 17,744.64, 24,487.29 and 9,787.59 is: 13,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.64 : 24,487.29 = 9,787.59 : x
  2. Step 2: Convert to fraction form
    17,744.64/24,487.29 = 9,787.59/x
  3. Step 3: Cross multiply
    17,744.64x = 24,487.29 × 9,787.59
  4. Step 4: Simplify right side
    17,744.64x = 239,671,554.73
  5. Step 5: Solve for x
    x = 239,671,554.73/17,744.64
  6. Step 6: Final answer
    x = 13,506.70

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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.