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Finding the Fourth Proportional to 17,731.88, 24,468.85 and 9,774.15

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Solution

The fourth proportional to 17,731.88, 24,468.85 and 9,774.15 is: 13,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.88 : 24,468.85 = 9,774.15 : x
  2. Step 2: Convert to fraction form
    17,731.88/24,468.85 = 9,774.15/x
  3. Step 3: Cross multiply
    17,731.88x = 24,468.85 × 9,774.15
  4. Step 4: Simplify right side
    17,731.88x = 239,162,210.23
  5. Step 5: Solve for x
    x = 239,162,210.23/17,731.88
  6. Step 6: Final answer
    x = 13,487.70

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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.