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Finding the Fourth Proportional to 23,114.53, 31,887.91 and 13,549.57

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Solution

The fourth proportional to 23,114.53, 31,887.91 and 13,549.57 is: 18,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.53 : 31,887.91 = 13,549.57 : x
  2. Step 2: Convert to fraction form
    23,114.53/31,887.91 = 13,549.57/x
  3. Step 3: Cross multiply
    23,114.53x = 31,887.91 × 13,549.57
  4. Step 4: Simplify right side
    23,114.53x = 432,067,468.70
  5. Step 5: Solve for x
    x = 432,067,468.70/23,114.53
  6. Step 6: Final answer
    x = 18,692.46

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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.