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Finding the Fourth Proportional to 22,862.14, 31,552.66 and 12,791.14

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Solution

The fourth proportional to 22,862.14, 31,552.66 and 12,791.14 is: 17,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.14 : 31,552.66 = 12,791.14 : x
  2. Step 2: Convert to fraction form
    22,862.14/31,552.66 = 12,791.14/x
  3. Step 3: Cross multiply
    22,862.14x = 31,552.66 × 12,791.14
  4. Step 4: Simplify right side
    22,862.14x = 403,594,491.43
  5. Step 5: Solve for x
    x = 403,594,491.43/22,862.14
  6. Step 6: Final answer
    x = 17,653.40

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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.