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Finding the Fourth Proportional to 27,066.40, 40,580.40 and 12,282.40

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Solution

The fourth proportional to 27,066.40, 40,580.40 and 12,282.40 is: 18,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066.40 : 40,580.40 = 12,282.40 : x
  2. Step 2: Convert to fraction form
    27,066.40/40,580.40 = 12,282.40/x
  3. Step 3: Cross multiply
    27,066.40x = 40,580.40 × 12,282.40
  4. Step 4: Simplify right side
    27,066.40x = 498,424,704.96
  5. Step 5: Solve for x
    x = 498,424,704.96/27,066.40
  6. Step 6: Final answer
    x = 18,414.89

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Why These Related Problems?

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