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Finding the Fourth Proportional to 20,576.16, 30,864.24 and 9,480.78

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Solution

The fourth proportional to 20,576.16, 30,864.24 and 9,480.78 is: 14,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.16 : 30,864.24 = 9,480.78 : x
  2. Step 2: Convert to fraction form
    20,576.16/30,864.24 = 9,480.78/x
  3. Step 3: Cross multiply
    20,576.16x = 30,864.24 × 9,480.78
  4. Step 4: Simplify right side
    20,576.16x = 292,617,069.31
  5. Step 5: Solve for x
    x = 292,617,069.31/20,576.16
  6. Step 6: Final answer
    x = 14,221.17

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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.