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Finding the Fourth Proportional to 22,842.24, 34,259.04 and 11,143.68

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Solution

The fourth proportional to 22,842.24, 34,259.04 and 11,143.68 is: 16,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.24 : 34,259.04 = 11,143.68 : x
  2. Step 2: Convert to fraction form
    22,842.24/34,259.04 = 11,143.68/x
  3. Step 3: Cross multiply
    22,842.24x = 34,259.04 × 11,143.68
  4. Step 4: Simplify right side
    22,842.24x = 381,771,778.87
  5. Step 5: Solve for x
    x = 381,771,778.87/22,842.24
  6. Step 6: Final answer
    x = 16,713.41

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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.