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Finding the Fourth Proportional to 14,869.92, 20,523.24 and 8,821.38

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Solution

The fourth proportional to 14,869.92, 20,523.24 and 8,821.38 is: 12,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.92 : 20,523.24 = 8,821.38 : x
  2. Step 2: Convert to fraction form
    14,869.92/20,523.24 = 8,821.38/x
  3. Step 3: Cross multiply
    14,869.92x = 20,523.24 × 8,821.38
  4. Step 4: Simplify right side
    14,869.92x = 181,043,298.87
  5. Step 5: Solve for x
    x = 181,043,298.87/14,869.92
  6. Step 6: Final answer
    x = 12,175.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.