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Finding the Fourth Proportional to 22,524.72, 31,084.32 and 12,452.64

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Solution

The fourth proportional to 22,524.72, 31,084.32 and 12,452.64 is: 17,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.72 : 31,084.32 = 12,452.64 : x
  2. Step 2: Convert to fraction form
    22,524.72/31,084.32 = 12,452.64/x
  3. Step 3: Cross multiply
    22,524.72x = 31,084.32 × 12,452.64
  4. Step 4: Simplify right side
    22,524.72x = 387,081,846.60
  5. Step 5: Solve for x
    x = 387,081,846.60/22,524.72
  6. Step 6: Final answer
    x = 17,184.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.