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Finding the Fourth Proportional to 22,652.64, 31,261.32 and 13,701.78

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Solution

The fourth proportional to 22,652.64, 31,261.32 and 13,701.78 is: 18,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.64 : 31,261.32 = 13,701.78 : x
  2. Step 2: Convert to fraction form
    22,652.64/31,261.32 = 13,701.78/x
  3. Step 3: Cross multiply
    22,652.64x = 31,261.32 × 13,701.78
  4. Step 4: Simplify right side
    22,652.64x = 428,335,729.15
  5. Step 5: Solve for x
    x = 428,335,729.15/22,652.64
  6. Step 6: Final answer
    x = 18,908.87

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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.