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Finding the Fourth Proportional to 24,874.24, 37,324.32 and 11,020

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Solution

The fourth proportional to 24,874.24, 37,324.32 and 11,020 is: 16,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.24 : 37,324.32 = 11,020 : x
  2. Step 2: Convert to fraction form
    24,874.24/37,324.32 = 11,020/x
  3. Step 3: Cross multiply
    24,874.24x = 37,324.32 × 11,020
  4. Step 4: Simplify right side
    24,874.24x = 411,314,006.40
  5. Step 5: Solve for x
    x = 411,314,006.40/24,874.24
  6. Step 6: Final answer
    x = 16,535.74

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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.