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Finding the Fourth Proportional to 17,747.08, 24,489 and 9,787.75

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Solution

The fourth proportional to 17,747.08, 24,489 and 9,787.75 is: 13,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.08 : 24,489 = 9,787.75 : x
  2. Step 2: Convert to fraction form
    17,747.08/24,489 = 9,787.75/x
  3. Step 3: Cross multiply
    17,747.08x = 24,489 × 9,787.75
  4. Step 4: Simplify right side
    17,747.08x = 239,692,209.75
  5. Step 5: Solve for x
    x = 239,692,209.75/17,747.08
  6. Step 6: Final answer
    x = 13,506.01

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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.