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Finding the Fourth Proportional to 27,406.38, 37,821.16 and 17,324.32

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Solution

The fourth proportional to 27,406.38, 37,821.16 and 17,324.32 is: 23,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.38 : 37,821.16 = 17,324.32 : x
  2. Step 2: Convert to fraction form
    27,406.38/37,821.16 = 17,324.32/x
  3. Step 3: Cross multiply
    27,406.38x = 37,821.16 × 17,324.32
  4. Step 4: Simplify right side
    27,406.38x = 655,225,878.61
  5. Step 5: Solve for x
    x = 655,225,878.61/27,406.38
  6. Step 6: Final answer
    x = 23,907.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.