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Finding the Fourth Proportional to 27,161.17, 40,708.95 and 12,349.78

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Solution

The fourth proportional to 27,161.17, 40,708.95 and 12,349.78 is: 18,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.17 : 40,708.95 = 12,349.78 : x
  2. Step 2: Convert to fraction form
    27,161.17/40,708.95 = 12,349.78/x
  3. Step 3: Cross multiply
    27,161.17x = 40,708.95 × 12,349.78
  4. Step 4: Simplify right side
    27,161.17x = 502,746,576.53
  5. Step 5: Solve for x
    x = 502,746,576.53/27,161.17
  6. Step 6: Final answer
    x = 18,509.75

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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.