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Finding the Fourth Proportional to 22,534.38, 33,804 and 9,379.44

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Solution

The fourth proportional to 22,534.38, 33,804 and 9,379.44 is: 14,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.38 : 33,804 = 9,379.44 : x
  2. Step 2: Convert to fraction form
    22,534.38/33,804 = 9,379.44/x
  3. Step 3: Cross multiply
    22,534.38x = 33,804 × 9,379.44
  4. Step 4: Simplify right side
    22,534.38x = 317,062,589.76
  5. Step 5: Solve for x
    x = 317,062,589.76/22,534.38
  6. Step 6: Final answer
    x = 14,070.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.