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Finding the Fourth Proportional to 23,114.19, 31,887.44 and 13,549.22

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Solution

The fourth proportional to 23,114.19, 31,887.44 and 13,549.22 is: 18,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.19 : 31,887.44 = 13,549.22 : x
  2. Step 2: Convert to fraction form
    23,114.19/31,887.44 = 13,549.22/x
  3. Step 3: Cross multiply
    23,114.19x = 31,887.44 × 13,549.22
  4. Step 4: Simplify right side
    23,114.19x = 432,049,939.80
  5. Step 5: Solve for x
    x = 432,049,939.80/23,114.19
  6. Step 6: Final answer
    x = 18,691.98

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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.