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Finding the Fourth Proportional to 17,744.13, 24,486.61 and 9,787.10

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Solution

The fourth proportional to 17,744.13, 24,486.61 and 9,787.10 is: 13,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.13 : 24,486.61 = 9,787.10 : x
  2. Step 2: Convert to fraction form
    17,744.13/24,486.61 = 9,787.10/x
  3. Step 3: Cross multiply
    17,744.13x = 24,486.61 × 9,787.10
  4. Step 4: Simplify right side
    17,744.13x = 239,652,900.73
  5. Step 5: Solve for x
    x = 239,652,900.73/17,744.13
  6. Step 6: Final answer
    x = 13,506.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.