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Finding the Fourth Proportional to 15,186.45, 22,759.80 and 8,158.25

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Solution

The fourth proportional to 15,186.45, 22,759.80 and 8,158.25 is: 12,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.45 : 22,759.80 = 8,158.25 : x
  2. Step 2: Convert to fraction form
    15,186.45/22,759.80 = 8,158.25/x
  3. Step 3: Cross multiply
    15,186.45x = 22,759.80 × 8,158.25
  4. Step 4: Simplify right side
    15,186.45x = 185,680,024.55
  5. Step 5: Solve for x
    x = 185,680,024.55/15,186.45
  6. Step 6: Final answer
    x = 12,226.69

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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.