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Finding the Fourth Proportional to 27,868.84, 41,801.79 and 9,146.41

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Solution

The fourth proportional to 27,868.84, 41,801.79 and 9,146.41 is: 13,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868.84 : 41,801.79 = 9,146.41 : x
  2. Step 2: Convert to fraction form
    27,868.84/41,801.79 = 9,146.41/x
  3. Step 3: Cross multiply
    27,868.84x = 41,801.79 × 9,146.41
  4. Step 4: Simplify right side
    27,868.84x = 382,336,310.07
  5. Step 5: Solve for x
    x = 382,336,310.07/27,868.84
  6. Step 6: Final answer
    x = 13,719.13

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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.