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Finding the Fourth Proportional to 12,446.54, 17,164.68 and 9,084.02

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Solution

The fourth proportional to 12,446.54, 17,164.68 and 9,084.02 is: 12,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.54 : 17,164.68 = 9,084.02 : x
  2. Step 2: Convert to fraction form
    12,446.54/17,164.68 = 9,084.02/x
  3. Step 3: Cross multiply
    12,446.54x = 17,164.68 × 9,084.02
  4. Step 4: Simplify right side
    12,446.54x = 155,924,339.33
  5. Step 5: Solve for x
    x = 155,924,339.33/12,446.54
  6. Step 6: Final answer
    x = 12,527.53

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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.