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Finding the Fourth Proportional to 27,596, 41,398.32 and 9,132.32

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Solution

The fourth proportional to 27,596, 41,398.32 and 9,132.32 is: 13,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596 : 41,398.32 = 9,132.32 : x
  2. Step 2: Convert to fraction form
    27,596/41,398.32 = 9,132.32/x
  3. Step 3: Cross multiply
    27,596x = 41,398.32 × 9,132.32
  4. Step 4: Simplify right side
    27,596x = 378,062,705.70
  5. Step 5: Solve for x
    x = 378,062,705.70/27,596
  6. Step 6: Final answer
    x = 13,699.91

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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.