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Finding the Fourth Proportional to 27,046.92, 40,566.28 and 9,512.65

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Solution

The fourth proportional to 27,046.92, 40,566.28 and 9,512.65 is: 14,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.92 : 40,566.28 = 9,512.65 : x
  2. Step 2: Convert to fraction form
    27,046.92/40,566.28 = 9,512.65/x
  3. Step 3: Cross multiply
    27,046.92x = 40,566.28 × 9,512.65
  4. Step 4: Simplify right side
    27,046.92x = 385,892,727.36
  5. Step 5: Solve for x
    x = 385,892,727.36/27,046.92
  6. Step 6: Final answer
    x = 14,267.53

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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.