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Finding the Fourth Proportional to 22,006.38, 30,368.72 and 11,934.80

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Solution

The fourth proportional to 22,006.38, 30,368.72 and 11,934.80 is: 16,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.38 : 30,368.72 = 11,934.80 : x
  2. Step 2: Convert to fraction form
    22,006.38/30,368.72 = 11,934.80/x
  3. Step 3: Cross multiply
    22,006.38x = 30,368.72 × 11,934.80
  4. Step 4: Simplify right side
    22,006.38x = 362,444,599.46
  5. Step 5: Solve for x
    x = 362,444,599.46/22,006.38
  6. Step 6: Final answer
    x = 16,469.98

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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.