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Finding the Fourth Proportional to 27,294, 40,941 and 8,826

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Solution

The fourth proportional to 27,294, 40,941 and 8,826 is: 13,239

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294 : 40,941 = 8,826 : x
  2. Step 2: Convert to fraction form
    27,294/40,941 = 8,826/x
  3. Step 3: Cross multiply
    27,294x = 40,941 × 8,826
  4. Step 4: Simplify right side
    27,294x = 361,345,266
  5. Step 5: Solve for x
    x = 361,345,266/27,294
  6. Step 6: Final answer
    x = 13,239

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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.