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Finding the Fourth Proportional to 20,999.13, 31,498.71 and 7,148.13

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Solution

The fourth proportional to 20,999.13, 31,498.71 and 7,148.13 is: 10,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.13 : 31,498.71 = 7,148.13 : x
  2. Step 2: Convert to fraction form
    20,999.13/31,498.71 = 7,148.13/x
  3. Step 3: Cross multiply
    20,999.13x = 31,498.71 × 7,148.13
  4. Step 4: Simplify right side
    20,999.13x = 225,156,873.91
  5. Step 5: Solve for x
    x = 225,156,873.91/20,999.13
  6. Step 6: Final answer
    x = 10,722.20

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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.