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Finding the Fourth Proportional to 16,324.48, 24,473.72 and 7,084

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Solution

The fourth proportional to 16,324.48, 24,473.72 and 7,084 is: 10,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.48 : 24,473.72 = 7,084 : x
  2. Step 2: Convert to fraction form
    16,324.48/24,473.72 = 7,084/x
  3. Step 3: Cross multiply
    16,324.48x = 24,473.72 × 7,084
  4. Step 4: Simplify right side
    16,324.48x = 173,371,832.48
  5. Step 5: Solve for x
    x = 173,371,832.48/16,324.48
  6. Step 6: Final answer
    x = 10,620.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.