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Finding the Fourth Proportional to 22,862.64, 31,551.82 and 12,791.14

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Solution

The fourth proportional to 22,862.64, 31,551.82 and 12,791.14 is: 17,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.64 : 31,551.82 = 12,791.14 : x
  2. Step 2: Convert to fraction form
    22,862.64/31,551.82 = 12,791.14/x
  3. Step 3: Cross multiply
    22,862.64x = 31,551.82 × 12,791.14
  4. Step 4: Simplify right side
    22,862.64x = 403,583,746.87
  5. Step 5: Solve for x
    x = 403,583,746.87/22,862.64
  6. Step 6: Final answer
    x = 17,652.54

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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.