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Finding the Fourth Proportional to 27,674, 41,510.61 and 12,874.64

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Solution

The fourth proportional to 27,674, 41,510.61 and 12,874.64 is: 19,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674 : 41,510.61 = 12,874.64 : x
  2. Step 2: Convert to fraction form
    27,674/41,510.61 = 12,874.64/x
  3. Step 3: Cross multiply
    27,674x = 41,510.61 × 12,874.64
  4. Step 4: Simplify right side
    27,674x = 534,434,159.93
  5. Step 5: Solve for x
    x = 534,434,159.93/27,674
  6. Step 6: Final answer
    x = 19,311.78

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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.