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Finding the Fourth Proportional to 26,165.88, 36,116.82 and 17,787.24

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Solution

The fourth proportional to 26,165.88, 36,116.82 and 17,787.24 is: 24,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.88 : 36,116.82 = 17,787.24 : x
  2. Step 2: Convert to fraction form
    26,165.88/36,116.82 = 17,787.24/x
  3. Step 3: Cross multiply
    26,165.88x = 36,116.82 × 17,787.24
  4. Step 4: Simplify right side
    26,165.88x = 642,418,545.38
  5. Step 5: Solve for x
    x = 642,418,545.38/26,165.88
  6. Step 6: Final answer
    x = 24,551.77

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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.