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Finding the Fourth Proportional to 20,920.86, 31,387.43 and 8,434.47

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Solution

The fourth proportional to 20,920.86, 31,387.43 and 8,434.47 is: 12,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.86 : 31,387.43 = 8,434.47 : x
  2. Step 2: Convert to fraction form
    20,920.86/31,387.43 = 8,434.47/x
  3. Step 3: Cross multiply
    20,920.86x = 31,387.43 × 8,434.47
  4. Step 4: Simplify right side
    20,920.86x = 264,736,336.71
  5. Step 5: Solve for x
    x = 264,736,336.71/20,920.86
  6. Step 6: Final answer
    x = 12,654.18

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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.