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Finding the Fourth Proportional to 27,314.60, 40,967.12 and 12,318.46

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Solution

The fourth proportional to 27,314.60, 40,967.12 and 12,318.46 is: 18,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.60 : 40,967.12 = 12,318.46 : x
  2. Step 2: Convert to fraction form
    27,314.60/40,967.12 = 12,318.46/x
  3. Step 3: Cross multiply
    27,314.60x = 40,967.12 × 12,318.46
  4. Step 4: Simplify right side
    27,314.60x = 504,651,829.04
  5. Step 5: Solve for x
    x = 504,651,829.04/27,314.60
  6. Step 6: Final answer
    x = 18,475.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.