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Finding the Fourth Proportional to 34,013.80, 51,024.06 and 10,640.68

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Solution

The fourth proportional to 34,013.80, 51,024.06 and 10,640.68 is: 15,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.80 : 51,024.06 = 10,640.68 : x
  2. Step 2: Convert to fraction form
    34,013.80/51,024.06 = 10,640.68/x
  3. Step 3: Cross multiply
    34,013.80x = 51,024.06 × 10,640.68
  4. Step 4: Simplify right side
    34,013.80x = 542,930,694.76
  5. Step 5: Solve for x
    x = 542,930,694.76/34,013.80
  6. Step 6: Final answer
    x = 15,962.07

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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.