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Finding the Fourth Proportional to 17,654.87, 24,363.70 and 9,697.02

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Solution

The fourth proportional to 17,654.87, 24,363.70 and 9,697.02 is: 13,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.87 : 24,363.70 = 9,697.02 : x
  2. Step 2: Convert to fraction form
    17,654.87/24,363.70 = 9,697.02/x
  3. Step 3: Cross multiply
    17,654.87x = 24,363.70 × 9,697.02
  4. Step 4: Simplify right side
    17,654.87x = 236,255,261.93
  5. Step 5: Solve for x
    x = 236,255,261.93/17,654.87
  6. Step 6: Final answer
    x = 13,381.88

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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.