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Finding the Fourth Proportional to 23,377.34, 35,065.82 and 5,847.14

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Solution

The fourth proportional to 23,377.34, 35,065.82 and 5,847.14 is: 8,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,377.34 : 35,065.82 = 5,847.14 : x
  2. Step 2: Convert to fraction form
    23,377.34/35,065.82 = 5,847.14/x
  3. Step 3: Cross multiply
    23,377.34x = 35,065.82 × 5,847.14
  4. Step 4: Simplify right side
    23,377.34x = 205,034,758.75
  5. Step 5: Solve for x
    x = 205,034,758.75/23,377.34
  6. Step 6: Final answer
    x = 8,770.66

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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.