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Finding the Fourth Proportional to 16,465.47, 22,722.38 and 8,911.82

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Solution

The fourth proportional to 16,465.47, 22,722.38 and 8,911.82 is: 12,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.47 : 22,722.38 = 8,911.82 : x
  2. Step 2: Convert to fraction form
    16,465.47/22,722.38 = 8,911.82/x
  3. Step 3: Cross multiply
    16,465.47x = 22,722.38 × 8,911.82
  4. Step 4: Simplify right side
    16,465.47x = 202,497,760.53
  5. Step 5: Solve for x
    x = 202,497,760.53/16,465.47
  6. Step 6: Final answer
    x = 12,298.33

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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.