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Finding the Fourth Proportional to 16,247.12, 24,364.50 and 6,381

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Solution

The fourth proportional to 16,247.12, 24,364.50 and 6,381 is: 9,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247.12 : 24,364.50 = 6,381 : x
  2. Step 2: Convert to fraction form
    16,247.12/24,364.50 = 6,381/x
  3. Step 3: Cross multiply
    16,247.12x = 24,364.50 × 6,381
  4. Step 4: Simplify right side
    16,247.12x = 155,469,874.50
  5. Step 5: Solve for x
    x = 155,469,874.50/16,247.12
  6. Step 6: Final answer
    x = 9,569.08

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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.