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Finding the Fourth Proportional to 15,761.80, 23,642.40 and 4,074.76

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Solution

The fourth proportional to 15,761.80, 23,642.40 and 4,074.76 is: 6,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.80 : 23,642.40 = 4,074.76 : x
  2. Step 2: Convert to fraction form
    15,761.80/23,642.40 = 4,074.76/x
  3. Step 3: Cross multiply
    15,761.80x = 23,642.40 × 4,074.76
  4. Step 4: Simplify right side
    15,761.80x = 96,337,105.82
  5. Step 5: Solve for x
    x = 96,337,105.82/15,761.80
  6. Step 6: Final answer
    x = 6,112.06

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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.