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Finding the Fourth Proportional to 12,432.48, 18,649.75 and 5,412.73

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Solution

The fourth proportional to 12,432.48, 18,649.75 and 5,412.73 is: 8,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.48 : 18,649.75 = 5,412.73 : x
  2. Step 2: Convert to fraction form
    12,432.48/18,649.75 = 5,412.73/x
  3. Step 3: Cross multiply
    12,432.48x = 18,649.75 × 5,412.73
  4. Step 4: Simplify right side
    12,432.48x = 100,946,061.32
  5. Step 5: Solve for x
    x = 100,946,061.32/12,432.48
  6. Step 6: Final answer
    x = 8,119.54

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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.