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Finding the Fourth Proportional to 22,577.28, 31,156.91 and 12,505.92

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Solution

The fourth proportional to 22,577.28, 31,156.91 and 12,505.92 is: 17,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.28 : 31,156.91 = 12,505.92 : x
  2. Step 2: Convert to fraction form
    22,577.28/31,156.91 = 12,505.92/x
  3. Step 3: Cross multiply
    22,577.28x = 31,156.91 × 12,505.92
  4. Step 4: Simplify right side
    22,577.28x = 389,645,761.38
  5. Step 5: Solve for x
    x = 389,645,761.38/22,577.28
  6. Step 6: Final answer
    x = 17,258.31

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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.