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Finding the Fourth Proportional to 13,531.64, 18,672.96 and 7,562.14

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Solution

The fourth proportional to 13,531.64, 18,672.96 and 7,562.14 is: 10,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.64 : 18,672.96 = 7,562.14 : x
  2. Step 2: Convert to fraction form
    13,531.64/18,672.96 = 7,562.14/x
  3. Step 3: Cross multiply
    13,531.64x = 18,672.96 × 7,562.14
  4. Step 4: Simplify right side
    13,531.64x = 141,207,537.73
  5. Step 5: Solve for x
    x = 141,207,537.73/13,531.64
  6. Step 6: Final answer
    x = 10,435.36

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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.