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Finding the Fourth Proportional to 21,586.78, 32,384.76 and 12,231.28

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Solution

The fourth proportional to 21,586.78, 32,384.76 and 12,231.28 is: 18,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.78 : 32,384.76 = 12,231.28 : x
  2. Step 2: Convert to fraction form
    21,586.78/32,384.76 = 12,231.28/x
  3. Step 3: Cross multiply
    21,586.78x = 32,384.76 × 12,231.28
  4. Step 4: Simplify right side
    21,586.78x = 396,107,067.29
  5. Step 5: Solve for x
    x = 396,107,067.29/21,586.78
  6. Step 6: Final answer
    x = 18,349.52

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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.