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Finding the Fourth Proportional to 22,814.11, 34,215.22 and 9,659.71

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Solution

The fourth proportional to 22,814.11, 34,215.22 and 9,659.71 is: 14,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.11 : 34,215.22 = 9,659.71 : x
  2. Step 2: Convert to fraction form
    22,814.11/34,215.22 = 9,659.71/x
  3. Step 3: Cross multiply
    22,814.11x = 34,215.22 × 9,659.71
  4. Step 4: Simplify right side
    22,814.11x = 330,509,102.79
  5. Step 5: Solve for x
    x = 330,509,102.79/22,814.11
  6. Step 6: Final answer
    x = 14,487.05

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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.