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Finding the Fourth Proportional to 27,459, 37,863.38 and 17,881.24

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Solution

The fourth proportional to 27,459, 37,863.38 and 17,881.24 is: 24,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 37,863.38 = 17,881.24 : x
  2. Step 2: Convert to fraction form
    27,459/37,863.38 = 17,881.24/x
  3. Step 3: Cross multiply
    27,459x = 37,863.38 × 17,881.24
  4. Step 4: Simplify right side
    27,459x = 677,044,184.99
  5. Step 5: Solve for x
    x = 677,044,184.99/27,459
  6. Step 6: Final answer
    x = 24,656.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.