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Finding the Fourth Proportional to 26,257.52, 39,374.76 and 9,830

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Solution

The fourth proportional to 26,257.52, 39,374.76 and 9,830 is: 14,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.52 : 39,374.76 = 9,830 : x
  2. Step 2: Convert to fraction form
    26,257.52/39,374.76 = 9,830/x
  3. Step 3: Cross multiply
    26,257.52x = 39,374.76 × 9,830
  4. Step 4: Simplify right side
    26,257.52x = 387,053,890.80
  5. Step 5: Solve for x
    x = 387,053,890.80/26,257.52
  6. Step 6: Final answer
    x = 14,740.69

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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.