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Finding the Fourth Proportional to 27,475.84, 41,212.62 and 12,679.84

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Solution

The fourth proportional to 27,475.84, 41,212.62 and 12,679.84 is: 19,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.84 : 41,212.62 = 12,679.84 : x
  2. Step 2: Convert to fraction form
    27,475.84/41,212.62 = 12,679.84/x
  3. Step 3: Cross multiply
    27,475.84x = 41,212.62 × 12,679.84
  4. Step 4: Simplify right side
    27,475.84x = 522,569,427.58
  5. Step 5: Solve for x
    x = 522,569,427.58/27,475.84
  6. Step 6: Final answer
    x = 19,019.23

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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.