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Finding the Fourth Proportional to 12,703.92, 17,531.40 and 7,402.32

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Solution

The fourth proportional to 12,703.92, 17,531.40 and 7,402.32 is: 10,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.92 : 17,531.40 = 7,402.32 : x
  2. Step 2: Convert to fraction form
    12,703.92/17,531.40 = 7,402.32/x
  3. Step 3: Cross multiply
    12,703.92x = 17,531.40 × 7,402.32
  4. Step 4: Simplify right side
    12,703.92x = 129,773,032.85
  5. Step 5: Solve for x
    x = 129,773,032.85/12,703.92
  6. Step 6: Final answer
    x = 10,215.20

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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.