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Finding the Fourth Proportional to 22,341.14, 33,517.23 and 6,758.76

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Solution

The fourth proportional to 22,341.14, 33,517.23 and 6,758.76 is: 10,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,341.14 : 33,517.23 = 6,758.76 : x
  2. Step 2: Convert to fraction form
    22,341.14/33,517.23 = 6,758.76/x
  3. Step 3: Cross multiply
    22,341.14x = 33,517.23 × 6,758.76
  4. Step 4: Simplify right side
    22,341.14x = 226,534,913.43
  5. Step 5: Solve for x
    x = 226,534,913.43/22,341.14
  6. Step 6: Final answer
    x = 10,139.81

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