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Finding the Fourth Proportional to 22,579.71, 31,159.17 and 12,508.59

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Solution

The fourth proportional to 22,579.71, 31,159.17 and 12,508.59 is: 17,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,579.71 : 31,159.17 = 12,508.59 : x
  2. Step 2: Convert to fraction form
    22,579.71/31,159.17 = 12,508.59/x
  3. Step 3: Cross multiply
    22,579.71x = 31,159.17 × 12,508.59
  4. Step 4: Simplify right side
    22,579.71x = 389,757,282.27
  5. Step 5: Solve for x
    x = 389,757,282.27/22,579.71
  6. Step 6: Final answer
    x = 17,261.39

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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.