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Finding the Fourth Proportional to 20,839.13, 28,758.02 and 11,407.71

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Solution

The fourth proportional to 20,839.13, 28,758.02 and 11,407.71 is: 15,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.13 : 28,758.02 = 11,407.71 : x
  2. Step 2: Convert to fraction form
    20,839.13/28,758.02 = 11,407.71/x
  3. Step 3: Cross multiply
    20,839.13x = 28,758.02 × 11,407.71
  4. Step 4: Simplify right side
    20,839.13x = 328,063,095.30
  5. Step 5: Solve for x
    x = 328,063,095.30/20,839.13
  6. Step 6: Final answer
    x = 15,742.65

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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.