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Finding the Fourth Proportional to 27,867.84, 41,800.29 and 9,145.41

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Solution

The fourth proportional to 27,867.84, 41,800.29 and 9,145.41 is: 13,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.84 : 41,800.29 = 9,145.41 : x
  2. Step 2: Convert to fraction form
    27,867.84/41,800.29 = 9,145.41/x
  3. Step 3: Cross multiply
    27,867.84x = 41,800.29 × 9,145.41
  4. Step 4: Simplify right side
    27,867.84x = 382,280,790.17
  5. Step 5: Solve for x
    x = 382,280,790.17/27,867.84
  6. Step 6: Final answer
    x = 13,717.63

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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.