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Finding the Fourth Proportional to 16,223.62, 24,339.12 and 6,864.43

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Solution

The fourth proportional to 16,223.62, 24,339.12 and 6,864.43 is: 10,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.62 : 24,339.12 = 6,864.43 : x
  2. Step 2: Convert to fraction form
    16,223.62/24,339.12 = 6,864.43/x
  3. Step 3: Cross multiply
    16,223.62x = 24,339.12 × 6,864.43
  4. Step 4: Simplify right side
    16,223.62x = 167,074,185.50
  5. Step 5: Solve for x
    x = 167,074,185.50/16,223.62
  6. Step 6: Final answer
    x = 10,298.21

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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.