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Finding the Fourth Proportional to 22,521.96, 31,084.17 and 13,096

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Solution

The fourth proportional to 22,521.96, 31,084.17 and 13,096 is: 18,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.96 : 31,084.17 = 13,096 : x
  2. Step 2: Convert to fraction form
    22,521.96/31,084.17 = 13,096/x
  3. Step 3: Cross multiply
    22,521.96x = 31,084.17 × 13,096
  4. Step 4: Simplify right side
    22,521.96x = 407,078,290.32
  5. Step 5: Solve for x
    x = 407,078,290.32/22,521.96
  6. Step 6: Final answer
    x = 18,074.73

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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.