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Finding the Fourth Proportional to 15,767.20, 23,630.70 and 8,375.20

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Solution

The fourth proportional to 15,767.20, 23,630.70 and 8,375.20 is: 12,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.20 : 23,630.70 = 8,375.20 : x
  2. Step 2: Convert to fraction form
    15,767.20/23,630.70 = 8,375.20/x
  3. Step 3: Cross multiply
    15,767.20x = 23,630.70 × 8,375.20
  4. Step 4: Simplify right side
    15,767.20x = 197,911,838.64
  5. Step 5: Solve for x
    x = 197,911,838.64/15,767.20
  6. Step 6: Final answer
    x = 12,552.12

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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.