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Finding the Fourth Proportional to 22,329.38, 30,814.95 and 12,258.77

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Solution

The fourth proportional to 22,329.38, 30,814.95 and 12,258.77 is: 16,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,329.38 : 30,814.95 = 12,258.77 : x
  2. Step 2: Convert to fraction form
    22,329.38/30,814.95 = 12,258.77/x
  3. Step 3: Cross multiply
    22,329.38x = 30,814.95 × 12,258.77
  4. Step 4: Simplify right side
    22,329.38x = 377,753,384.61
  5. Step 5: Solve for x
    x = 377,753,384.61/22,329.38
  6. Step 6: Final answer
    x = 16,917.33

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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.