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Finding the Fourth Proportional to 14,578.92, 21,866.04 and 5,217.20

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Solution

The fourth proportional to 14,578.92, 21,866.04 and 5,217.20 is: 7,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.92 : 21,866.04 = 5,217.20 : x
  2. Step 2: Convert to fraction form
    14,578.92/21,866.04 = 5,217.20/x
  3. Step 3: Cross multiply
    14,578.92x = 21,866.04 × 5,217.20
  4. Step 4: Simplify right side
    14,578.92x = 114,079,503.89
  5. Step 5: Solve for x
    x = 114,079,503.89/14,578.92
  6. Step 6: Final answer
    x = 7,824.96

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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.