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Finding the Fourth Proportional to 27,460.52, 41,190.78 and 9,929.96

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Solution

The fourth proportional to 27,460.52, 41,190.78 and 9,929.96 is: 14,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.52 : 41,190.78 = 9,929.96 : x
  2. Step 2: Convert to fraction form
    27,460.52/41,190.78 = 9,929.96/x
  3. Step 3: Cross multiply
    27,460.52x = 41,190.78 × 9,929.96
  4. Step 4: Simplify right side
    27,460.52x = 409,022,797.77
  5. Step 5: Solve for x
    x = 409,022,797.77/27,460.52
  6. Step 6: Final answer
    x = 14,894.94

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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.