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Finding the Fourth Proportional to 23,387.32, 32,273.97 and 12,777

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Solution

The fourth proportional to 23,387.32, 32,273.97 and 12,777 is: 17,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.32 : 32,273.97 = 12,777 : x
  2. Step 2: Convert to fraction form
    23,387.32/32,273.97 = 12,777/x
  3. Step 3: Cross multiply
    23,387.32x = 32,273.97 × 12,777
  4. Step 4: Simplify right side
    23,387.32x = 412,364,514.69
  5. Step 5: Solve for x
    x = 412,364,514.69/23,387.32
  6. Step 6: Final answer
    x = 17,631.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.