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Finding the Fourth Proportional to 20,082.68, 30,127.36 and 6,931.52

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Solution

The fourth proportional to 20,082.68, 30,127.36 and 6,931.52 is: 10,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.68 : 30,127.36 = 6,931.52 : x
  2. Step 2: Convert to fraction form
    20,082.68/30,127.36 = 6,931.52/x
  3. Step 3: Cross multiply
    20,082.68x = 30,127.36 × 6,931.52
  4. Step 4: Simplify right side
    20,082.68x = 208,828,230.42
  5. Step 5: Solve for x
    x = 208,828,230.42/20,082.68
  6. Step 6: Final answer
    x = 10,398.43

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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.