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Finding the Fourth Proportional to 15,761.57, 23,642.76 and 4,074.75

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Solution

The fourth proportional to 15,761.57, 23,642.76 and 4,074.75 is: 6,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.57 : 23,642.76 = 4,074.75 : x
  2. Step 2: Convert to fraction form
    15,761.57/23,642.76 = 4,074.75/x
  3. Step 3: Cross multiply
    15,761.57x = 23,642.76 × 4,074.75
  4. Step 4: Simplify right side
    15,761.57x = 96,338,336.31
  5. Step 5: Solve for x
    x = 96,338,336.31/15,761.57
  6. Step 6: Final answer
    x = 6,112.23

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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.