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Finding the Fourth Proportional to 10,020.97, 15,029.02 and 4,174.39

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Solution

The fourth proportional to 10,020.97, 15,029.02 and 4,174.39 is: 6,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.97 : 15,029.02 = 4,174.39 : x
  2. Step 2: Convert to fraction form
    10,020.97/15,029.02 = 4,174.39/x
  3. Step 3: Cross multiply
    10,020.97x = 15,029.02 × 4,174.39
  4. Step 4: Simplify right side
    10,020.97x = 62,736,990.80
  5. Step 5: Solve for x
    x = 62,736,990.80/10,020.97
  6. Step 6: Final answer
    x = 6,260.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.