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Finding the Fourth Proportional to 27,670, 38,184.60 and 17,734

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Solution

The fourth proportional to 27,670, 38,184.60 and 17,734 is: 24,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670 : 38,184.60 = 17,734 : x
  2. Step 2: Convert to fraction form
    27,670/38,184.60 = 17,734/x
  3. Step 3: Cross multiply
    27,670x = 38,184.60 × 17,734
  4. Step 4: Simplify right side
    27,670x = 677,165,696.40
  5. Step 5: Solve for x
    x = 677,165,696.40/27,670
  6. Step 6: Final answer
    x = 24,472.92

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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.