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Finding the Fourth Proportional to 13,531.24, 18,674.03 and 7,562.78

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Solution

The fourth proportional to 13,531.24, 18,674.03 and 7,562.78 is: 10,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.24 : 18,674.03 = 7,562.78 : x
  2. Step 2: Convert to fraction form
    13,531.24/18,674.03 = 7,562.78/x
  3. Step 3: Cross multiply
    13,531.24x = 18,674.03 × 7,562.78
  4. Step 4: Simplify right side
    13,531.24x = 141,227,580.60
  5. Step 5: Solve for x
    x = 141,227,580.60/13,531.24
  6. Step 6: Final answer
    x = 10,437.15

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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.