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Finding the Fourth Proportional to 15,314.86, 22,966.62 and 5,451.49

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Solution

The fourth proportional to 15,314.86, 22,966.62 and 5,451.49 is: 8,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.86 : 22,966.62 = 5,451.49 : x
  2. Step 2: Convert to fraction form
    15,314.86/22,966.62 = 5,451.49/x
  3. Step 3: Cross multiply
    15,314.86x = 22,966.62 × 5,451.49
  4. Step 4: Simplify right side
    15,314.86x = 125,202,299.26
  5. Step 5: Solve for x
    x = 125,202,299.26/15,314.86
  6. Step 6: Final answer
    x = 8,175.22

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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.