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Finding the Fourth Proportional to 24,199.68, 36,324.96 and 21,444

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Solution

The fourth proportional to 24,199.68, 36,324.96 and 21,444 is: 32,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.68 : 36,324.96 = 21,444 : x
  2. Step 2: Convert to fraction form
    24,199.68/36,324.96 = 21,444/x
  3. Step 3: Cross multiply
    24,199.68x = 36,324.96 × 21,444
  4. Step 4: Simplify right side
    24,199.68x = 778,952,442.24
  5. Step 5: Solve for x
    x = 778,952,442.24/24,199.68
  6. Step 6: Final answer
    x = 32,188.54

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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.