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Finding the Fourth Proportional to 24,967.54, 37,441.77 and 8,324.38

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Solution

The fourth proportional to 24,967.54, 37,441.77 and 8,324.38 is: 12,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.54 : 37,441.77 = 8,324.38 : x
  2. Step 2: Convert to fraction form
    24,967.54/37,441.77 = 8,324.38/x
  3. Step 3: Cross multiply
    24,967.54x = 37,441.77 × 8,324.38
  4. Step 4: Simplify right side
    24,967.54x = 311,679,521.35
  5. Step 5: Solve for x
    x = 311,679,521.35/24,967.54
  6. Step 6: Final answer
    x = 12,483.39

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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.