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Finding the Fourth Proportional to 19,142.53, 26,414.91 and 17,731.91

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Solution

The fourth proportional to 19,142.53, 26,414.91 and 17,731.91 is: 24,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.53 : 26,414.91 = 17,731.91 : x
  2. Step 2: Convert to fraction form
    19,142.53/26,414.91 = 17,731.91/x
  3. Step 3: Cross multiply
    19,142.53x = 26,414.91 × 17,731.91
  4. Step 4: Simplify right side
    19,142.53x = 468,386,872.82
  5. Step 5: Solve for x
    x = 468,386,872.82/19,142.53
  6. Step 6: Final answer
    x = 24,468.39

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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.