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Finding the Fourth Proportional to 16,101.99, 22,219.52 and 8,931.20

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Solution

The fourth proportional to 16,101.99, 22,219.52 and 8,931.20 is: 12,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.99 : 22,219.52 = 8,931.20 : x
  2. Step 2: Convert to fraction form
    16,101.99/22,219.52 = 8,931.20/x
  3. Step 3: Cross multiply
    16,101.99x = 22,219.52 × 8,931.20
  4. Step 4: Simplify right side
    16,101.99x = 198,446,821.27
  5. Step 5: Solve for x
    x = 198,446,821.27/16,101.99
  6. Step 6: Final answer
    x = 12,324.37

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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.