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Finding the Fourth Proportional to 22,965.19, 31,691.71 and 12,893.39

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Solution

The fourth proportional to 22,965.19, 31,691.71 and 12,893.39 is: 17,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.19 : 31,691.71 = 12,893.39 : x
  2. Step 2: Convert to fraction form
    22,965.19/31,691.71 = 12,893.39/x
  3. Step 3: Cross multiply
    22,965.19x = 31,691.71 × 12,893.39
  4. Step 4: Simplify right side
    22,965.19x = 408,613,553.30
  5. Step 5: Solve for x
    x = 408,613,553.30/22,965.19
  6. Step 6: Final answer
    x = 17,792.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.