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Finding the Fourth Proportional to 12,126.72, 18,199.80 and 6,285

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Solution

The fourth proportional to 12,126.72, 18,199.80 and 6,285 is: 9,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.72 : 18,199.80 = 6,285 : x
  2. Step 2: Convert to fraction form
    12,126.72/18,199.80 = 6,285/x
  3. Step 3: Cross multiply
    12,126.72x = 18,199.80 × 6,285
  4. Step 4: Simplify right side
    12,126.72x = 114,385,743
  5. Step 5: Solve for x
    x = 114,385,743/12,126.72
  6. Step 6: Final answer
    x = 9,432.54

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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.