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Finding the Fourth Proportional to 39,839.84, 59,754.86 and 10,257.84

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Solution

The fourth proportional to 39,839.84, 59,754.86 and 10,257.84 is: 15,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,839.84 : 59,754.86 = 10,257.84 : x
  2. Step 2: Convert to fraction form
    39,839.84/59,754.86 = 10,257.84/x
  3. Step 3: Cross multiply
    39,839.84x = 59,754.86 × 10,257.84
  4. Step 4: Simplify right side
    39,839.84x = 612,955,793.10
  5. Step 5: Solve for x
    x = 612,955,793.10/39,839.84
  6. Step 6: Final answer
    x = 15,385.50

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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.