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Finding the Fourth Proportional to 13,440.68, 18,546.10 and 7,472.40

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Solution

The fourth proportional to 13,440.68, 18,546.10 and 7,472.40 is: 10,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.68 : 18,546.10 = 7,472.40 : x
  2. Step 2: Convert to fraction form
    13,440.68/18,546.10 = 7,472.40/x
  3. Step 3: Cross multiply
    13,440.68x = 18,546.10 × 7,472.40
  4. Step 4: Simplify right side
    13,440.68x = 138,583,877.64
  5. Step 5: Solve for x
    x = 138,583,877.64/13,440.68
  6. Step 6: Final answer
    x = 10,310.78

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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.