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Finding the Fourth Proportional to 20,920.74, 31,381.71 and 6,129.68

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Solution

The fourth proportional to 20,920.74, 31,381.71 and 6,129.68 is: 9,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.74 : 31,381.71 = 6,129.68 : x
  2. Step 2: Convert to fraction form
    20,920.74/31,381.71 = 6,129.68/x
  3. Step 3: Cross multiply
    20,920.74x = 31,381.71 × 6,129.68
  4. Step 4: Simplify right side
    20,920.74x = 192,359,683.24
  5. Step 5: Solve for x
    x = 192,359,683.24/20,920.74
  6. Step 6: Final answer
    x = 9,194.69

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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.