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Finding the Fourth Proportional to 20,920.68, 31,381.02 and 6,129.47

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Solution

The fourth proportional to 20,920.68, 31,381.02 and 6,129.47 is: 9,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.68 : 31,381.02 = 6,129.47 : x
  2. Step 2: Convert to fraction form
    20,920.68/31,381.02 = 6,129.47/x
  3. Step 3: Cross multiply
    20,920.68x = 31,381.02 × 6,129.47
  4. Step 4: Simplify right side
    20,920.68x = 192,349,099.11
  5. Step 5: Solve for x
    x = 192,349,099.11/20,920.68
  6. Step 6: Final answer
    x = 9,194.21

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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.