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Finding the Fourth Proportional to 11,685.42, 17,528.14 and 9,257.85

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Solution

The fourth proportional to 11,685.42, 17,528.14 and 9,257.85 is: 13,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.42 : 17,528.14 = 9,257.85 : x
  2. Step 2: Convert to fraction form
    11,685.42/17,528.14 = 9,257.85/x
  3. Step 3: Cross multiply
    11,685.42x = 17,528.14 × 9,257.85
  4. Step 4: Simplify right side
    11,685.42x = 162,272,902.47
  5. Step 5: Solve for x
    x = 162,272,902.47/11,685.42
  6. Step 6: Final answer
    x = 13,886.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.