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Finding the Fourth Proportional to 27,632, 41,446.88 and 7,909.76

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Solution

The fourth proportional to 27,632, 41,446.88 and 7,909.76 is: 11,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632 : 41,446.88 = 7,909.76 : x
  2. Step 2: Convert to fraction form
    27,632/41,446.88 = 7,909.76/x
  3. Step 3: Cross multiply
    27,632x = 41,446.88 × 7,909.76
  4. Step 4: Simplify right side
    27,632x = 327,834,873.55
  5. Step 5: Solve for x
    x = 327,834,873.55/27,632
  6. Step 6: Final answer
    x = 11,864.32

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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.