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Finding the Fourth Proportional to 19,761.62, 29,642.48 and 8,074.84

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Solution

The fourth proportional to 19,761.62, 29,642.48 and 8,074.84 is: 12,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.62 : 29,642.48 = 8,074.84 : x
  2. Step 2: Convert to fraction form
    19,761.62/29,642.48 = 8,074.84/x
  3. Step 3: Cross multiply
    19,761.62x = 29,642.48 × 8,074.84
  4. Step 4: Simplify right side
    19,761.62x = 239,358,277.29
  5. Step 5: Solve for x
    x = 239,358,277.29/19,761.62
  6. Step 6: Final answer
    x = 12,112.28

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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.