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Finding the Fourth Proportional to 23,050.80, 34,578.72 and 8,264.16

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Solution

The fourth proportional to 23,050.80, 34,578.72 and 8,264.16 is: 12,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.80 : 34,578.72 = 8,264.16 : x
  2. Step 2: Convert to fraction form
    23,050.80/34,578.72 = 8,264.16/x
  3. Step 3: Cross multiply
    23,050.80x = 34,578.72 × 8,264.16
  4. Step 4: Simplify right side
    23,050.80x = 285,764,074.68
  5. Step 5: Solve for x
    x = 285,764,074.68/23,050.80
  6. Step 6: Final answer
    x = 12,397.14

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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.