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Finding the Fourth Proportional to 14,715.50, 22,078.68 and 6,821.78

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Solution

The fourth proportional to 14,715.50, 22,078.68 and 6,821.78 is: 10,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.50 : 22,078.68 = 6,821.78 : x
  2. Step 2: Convert to fraction form
    14,715.50/22,078.68 = 6,821.78/x
  3. Step 3: Cross multiply
    14,715.50x = 22,078.68 × 6,821.78
  4. Step 4: Simplify right side
    14,715.50x = 150,615,897.65
  5. Step 5: Solve for x
    x = 150,615,897.65/14,715.50
  6. Step 6: Final answer
    x = 10,235.19

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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.