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Finding the Fourth Proportional to 12,342.42, 17,029.17 and 7,035.30

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Solution

The fourth proportional to 12,342.42, 17,029.17 and 7,035.30 is: 9,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.42 : 17,029.17 = 7,035.30 : x
  2. Step 2: Convert to fraction form
    12,342.42/17,029.17 = 7,035.30/x
  3. Step 3: Cross multiply
    12,342.42x = 17,029.17 × 7,035.30
  4. Step 4: Simplify right side
    12,342.42x = 119,805,319.70
  5. Step 5: Solve for x
    x = 119,805,319.70/12,342.42
  6. Step 6: Final answer
    x = 9,706.79

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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.