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Finding the Fourth Proportional to 15,232.86, 22,854.48 and 8,213.55

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Solution

The fourth proportional to 15,232.86, 22,854.48 and 8,213.55 is: 12,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.86 : 22,854.48 = 8,213.55 : x
  2. Step 2: Convert to fraction form
    15,232.86/22,854.48 = 8,213.55/x
  3. Step 3: Cross multiply
    15,232.86x = 22,854.48 × 8,213.55
  4. Step 4: Simplify right side
    15,232.86x = 187,716,297.70
  5. Step 5: Solve for x
    x = 187,716,297.70/15,232.86
  6. Step 6: Final answer
    x = 12,323.12

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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.