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Finding the Fourth Proportional to 20,285.76, 30,423.68 and 10,412.48

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Solution

The fourth proportional to 20,285.76, 30,423.68 and 10,412.48 is: 15,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.76 : 30,423.68 = 10,412.48 : x
  2. Step 2: Convert to fraction form
    20,285.76/30,423.68 = 10,412.48/x
  3. Step 3: Cross multiply
    20,285.76x = 30,423.68 × 10,412.48
  4. Step 4: Simplify right side
    20,285.76x = 316,785,959.53
  5. Step 5: Solve for x
    x = 316,785,959.53/20,285.76
  6. Step 6: Final answer
    x = 15,616.17

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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.