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Finding the Fourth Proportional to 31,897.53, 44,016 and 18,469.64

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Solution

The fourth proportional to 31,897.53, 44,016 and 18,469.64 is: 25,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.53 : 44,016 = 18,469.64 : x
  2. Step 2: Convert to fraction form
    31,897.53/44,016 = 18,469.64/x
  3. Step 3: Cross multiply
    31,897.53x = 44,016 × 18,469.64
  4. Step 4: Simplify right side
    31,897.53x = 812,959,454.16
  5. Step 5: Solve for x
    x = 812,959,454.16/31,897.53
  6. Step 6: Final answer
    x = 25,486.60

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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.