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Finding the Fourth Proportional to 20,869.57, 28,799.92 and 11,438.13

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Solution

The fourth proportional to 20,869.57, 28,799.92 and 11,438.13 is: 15,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.57 : 28,799.92 = 11,438.13 : x
  2. Step 2: Convert to fraction form
    20,869.57/28,799.92 = 11,438.13/x
  3. Step 3: Cross multiply
    20,869.57x = 28,799.92 × 11,438.13
  4. Step 4: Simplify right side
    20,869.57x = 329,417,228.95
  5. Step 5: Solve for x
    x = 329,417,228.95/20,869.57
  6. Step 6: Final answer
    x = 15,784.57

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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.