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Finding the Fourth Proportional to 20,519.84, 30,781.47 and 5,728.93

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Solution

The fourth proportional to 20,519.84, 30,781.47 and 5,728.93 is: 8,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.84 : 30,781.47 = 5,728.93 : x
  2. Step 2: Convert to fraction form
    20,519.84/30,781.47 = 5,728.93/x
  3. Step 3: Cross multiply
    20,519.84x = 30,781.47 × 5,728.93
  4. Step 4: Simplify right side
    20,519.84x = 176,344,886.93
  5. Step 5: Solve for x
    x = 176,344,886.93/20,519.84
  6. Step 6: Final answer
    x = 8,593.87

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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.