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Finding the Fourth Proportional to 12,731.40, 17,572.32 and 7,427.16

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Solution

The fourth proportional to 12,731.40, 17,572.32 and 7,427.16 is: 10,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.40 : 17,572.32 = 7,427.16 : x
  2. Step 2: Convert to fraction form
    12,731.40/17,572.32 = 7,427.16/x
  3. Step 3: Cross multiply
    12,731.40x = 17,572.32 × 7,427.16
  4. Step 4: Simplify right side
    12,731.40x = 130,512,432.21
  5. Step 5: Solve for x
    x = 130,512,432.21/12,731.40
  6. Step 6: Final answer
    x = 10,251.22

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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.