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Finding the Fourth Proportional to 22,952.35, 34,423.66 and 8,162.16

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Solution

The fourth proportional to 22,952.35, 34,423.66 and 8,162.16 is: 12,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.35 : 34,423.66 = 8,162.16 : x
  2. Step 2: Convert to fraction form
    22,952.35/34,423.66 = 8,162.16/x
  3. Step 3: Cross multiply
    22,952.35x = 34,423.66 × 8,162.16
  4. Step 4: Simplify right side
    22,952.35x = 280,971,420.71
  5. Step 5: Solve for x
    x = 280,971,420.71/22,952.35
  6. Step 6: Final answer
    x = 12,241.51

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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.