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Finding the Fourth Proportional to 20,902.31, 28,869.14 and 13,764.14

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Solution

The fourth proportional to 20,902.31, 28,869.14 and 13,764.14 is: 19,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.31 : 28,869.14 = 13,764.14 : x
  2. Step 2: Convert to fraction form
    20,902.31/28,869.14 = 13,764.14/x
  3. Step 3: Cross multiply
    20,902.31x = 28,869.14 × 13,764.14
  4. Step 4: Simplify right side
    20,902.31x = 397,358,740.29
  5. Step 5: Solve for x
    x = 397,358,740.29/20,902.31
  6. Step 6: Final answer
    x = 19,010.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.