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Finding the Fourth Proportional to 16,231.40, 24,347 and 6,363.72

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Solution

The fourth proportional to 16,231.40, 24,347 and 6,363.72 is: 9,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.40 : 24,347 = 6,363.72 : x
  2. Step 2: Convert to fraction form
    16,231.40/24,347 = 6,363.72/x
  3. Step 3: Cross multiply
    16,231.40x = 24,347 × 6,363.72
  4. Step 4: Simplify right side
    16,231.40x = 154,937,490.84
  5. Step 5: Solve for x
    x = 154,937,490.84/16,231.40
  6. Step 6: Final answer
    x = 9,545.54

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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.