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Finding the Fourth Proportional to 21,838.16, 32,747.64 and 6,252.24

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Solution

The fourth proportional to 21,838.16, 32,747.64 and 6,252.24 is: 9,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.16 : 32,747.64 = 6,252.24 : x
  2. Step 2: Convert to fraction form
    21,838.16/32,747.64 = 6,252.24/x
  3. Step 3: Cross multiply
    21,838.16x = 32,747.64 × 6,252.24
  4. Step 4: Simplify right side
    21,838.16x = 204,746,104.71
  5. Step 5: Solve for x
    x = 204,746,104.71/21,838.16
  6. Step 6: Final answer
    x = 9,375.61

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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.