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Finding the Fourth Proportional to 22,524.92, 31,084.52 and 12,315.99

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Solution

The fourth proportional to 22,524.92, 31,084.52 and 12,315.99 is: 16,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.92 : 31,084.52 = 12,315.99 : x
  2. Step 2: Convert to fraction form
    22,524.92/31,084.52 = 12,315.99/x
  3. Step 3: Cross multiply
    22,524.92x = 31,084.52 × 12,315.99
  4. Step 4: Simplify right side
    22,524.92x = 382,836,575.89
  5. Step 5: Solve for x
    x = 382,836,575.89/22,524.92
  6. Step 6: Final answer
    x = 16,996.13

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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.