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Finding the Fourth Proportional to 23,117.76, 31,893.60 and 16,040.64

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Solution

The fourth proportional to 23,117.76, 31,893.60 and 16,040.64 is: 22,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.76 : 31,893.60 = 16,040.64 : x
  2. Step 2: Convert to fraction form
    23,117.76/31,893.60 = 16,040.64/x
  3. Step 3: Cross multiply
    23,117.76x = 31,893.60 × 16,040.64
  4. Step 4: Simplify right side
    23,117.76x = 511,593,755.90
  5. Step 5: Solve for x
    x = 511,593,755.90/23,117.76
  6. Step 6: Final answer
    x = 22,129.90

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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.