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Finding the Fourth Proportional to 20,950.47, 31,425.17 and 8,470.17

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Solution

The fourth proportional to 20,950.47, 31,425.17 and 8,470.17 is: 12,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.47 : 31,425.17 = 8,470.17 : x
  2. Step 2: Convert to fraction form
    20,950.47/31,425.17 = 8,470.17/x
  3. Step 3: Cross multiply
    20,950.47x = 31,425.17 × 8,470.17
  4. Step 4: Simplify right side
    20,950.47x = 266,176,489.83
  5. Step 5: Solve for x
    x = 266,176,489.83/20,950.47
  6. Step 6: Final answer
    x = 12,705.04

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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.