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Finding the Fourth Proportional to 22,589.71, 31,175.17 and 13,029.42

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Solution

The fourth proportional to 22,589.71, 31,175.17 and 13,029.42 is: 17,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.71 : 31,175.17 = 13,029.42 : x
  2. Step 2: Convert to fraction form
    22,589.71/31,175.17 = 13,029.42/x
  3. Step 3: Cross multiply
    22,589.71x = 31,175.17 × 13,029.42
  4. Step 4: Simplify right side
    22,589.71x = 406,194,467.83
  5. Step 5: Solve for x
    x = 406,194,467.83/22,589.71
  6. Step 6: Final answer
    x = 17,981.40

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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.