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Finding the Fourth Proportional to 22,894.13, 34,341.84 and 7,311.75

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Solution

The fourth proportional to 22,894.13, 34,341.84 and 7,311.75 is: 10,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.13 : 34,341.84 = 7,311.75 : x
  2. Step 2: Convert to fraction form
    22,894.13/34,341.84 = 7,311.75/x
  3. Step 3: Cross multiply
    22,894.13x = 34,341.84 × 7,311.75
  4. Step 4: Simplify right side
    22,894.13x = 251,098,948.62
  5. Step 5: Solve for x
    x = 251,098,948.62/22,894.13
  6. Step 6: Final answer
    x = 10,967.83

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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.