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Finding the Fourth Proportional to 27,802, 41,696.44 and 9,077.20

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Solution

The fourth proportional to 27,802, 41,696.44 and 9,077.20 is: 13,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802 : 41,696.44 = 9,077.20 : x
  2. Step 2: Convert to fraction form
    27,802/41,696.44 = 9,077.20/x
  3. Step 3: Cross multiply
    27,802x = 41,696.44 × 9,077.20
  4. Step 4: Simplify right side
    27,802x = 378,486,925.17
  5. Step 5: Solve for x
    x = 378,486,925.17/27,802
  6. Step 6: Final answer
    x = 13,613.66

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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.