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Finding the Fourth Proportional to 27,468.60, 41,184.69 and 9,936.15

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Solution

The fourth proportional to 27,468.60, 41,184.69 and 9,936.15 is: 14,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.60 : 41,184.69 = 9,936.15 : x
  2. Step 2: Convert to fraction form
    27,468.60/41,184.69 = 9,936.15/x
  3. Step 3: Cross multiply
    27,468.60x = 41,184.69 × 9,936.15
  4. Step 4: Simplify right side
    27,468.60x = 409,217,257.54
  5. Step 5: Solve for x
    x = 409,217,257.54/27,468.60
  6. Step 6: Final answer
    x = 14,897.64

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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.