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Finding the Fourth Proportional to 13,615.25, 20,422.89 and 5,407.25

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Solution

The fourth proportional to 13,615.25, 20,422.89 and 5,407.25 is: 8,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.25 : 20,422.89 = 5,407.25 : x
  2. Step 2: Convert to fraction form
    13,615.25/20,422.89 = 5,407.25/x
  3. Step 3: Cross multiply
    13,615.25x = 20,422.89 × 5,407.25
  4. Step 4: Simplify right side
    13,615.25x = 110,431,671.95
  5. Step 5: Solve for x
    x = 110,431,671.95/13,615.25
  6. Step 6: Final answer
    x = 8,110.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.