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Finding the Fourth Proportional to 20,105.78, 30,158.86 and 8,256.56

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Solution

The fourth proportional to 20,105.78, 30,158.86 and 8,256.56 is: 12,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.78 : 30,158.86 = 8,256.56 : x
  2. Step 2: Convert to fraction form
    20,105.78/30,158.86 = 8,256.56/x
  3. Step 3: Cross multiply
    20,105.78x = 30,158.86 × 8,256.56
  4. Step 4: Simplify right side
    20,105.78x = 249,008,437.12
  5. Step 5: Solve for x
    x = 249,008,437.12/20,105.78
  6. Step 6: Final answer
    x = 12,384.92

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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.