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Finding the Fourth Proportional to 20,689.13, 31,042.80 and 6,838.13

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Solution

The fourth proportional to 20,689.13, 31,042.80 and 6,838.13 is: 10,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.13 : 31,042.80 = 6,838.13 : x
  2. Step 2: Convert to fraction form
    20,689.13/31,042.80 = 6,838.13/x
  3. Step 3: Cross multiply
    20,689.13x = 31,042.80 × 6,838.13
  4. Step 4: Simplify right side
    20,689.13x = 212,274,701.96
  5. Step 5: Solve for x
    x = 212,274,701.96/20,689.13
  6. Step 6: Final answer
    x = 10,260.20

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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.