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Finding the Fourth Proportional to 22,086.23, 30,478.46 and 12,654.19

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Solution

The fourth proportional to 22,086.23, 30,478.46 and 12,654.19 is: 17,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.23 : 30,478.46 = 12,654.19 : x
  2. Step 2: Convert to fraction form
    22,086.23/30,478.46 = 12,654.19/x
  3. Step 3: Cross multiply
    22,086.23x = 30,478.46 × 12,654.19
  4. Step 4: Simplify right side
    22,086.23x = 385,680,084.28
  5. Step 5: Solve for x
    x = 385,680,084.28/22,086.23
  6. Step 6: Final answer
    x = 17,462.47

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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.