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Finding the Fourth Proportional to 20,568.52, 30,839.98 and 9,461

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Solution

The fourth proportional to 20,568.52, 30,839.98 and 9,461 is: 14,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.52 : 30,839.98 = 9,461 : x
  2. Step 2: Convert to fraction form
    20,568.52/30,839.98 = 9,461/x
  3. Step 3: Cross multiply
    20,568.52x = 30,839.98 × 9,461
  4. Step 4: Simplify right side
    20,568.52x = 291,777,050.78
  5. Step 5: Solve for x
    x = 291,777,050.78/20,568.52
  6. Step 6: Final answer
    x = 14,185.61

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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.