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Finding the Fourth Proportional to 22,276.80, 30,732.48 and 14,731.20

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Solution

The fourth proportional to 22,276.80, 30,732.48 and 14,731.20 is: 20,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.80 : 30,732.48 = 14,731.20 : x
  2. Step 2: Convert to fraction form
    22,276.80/30,732.48 = 14,731.20/x
  3. Step 3: Cross multiply
    22,276.80x = 30,732.48 × 14,731.20
  4. Step 4: Simplify right side
    22,276.80x = 452,726,309.38
  5. Step 5: Solve for x
    x = 452,726,309.38/22,276.80
  6. Step 6: Final answer
    x = 20,322.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.