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Finding the Fourth Proportional to 27,538, 38,012.28 and 16,360

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Solution

The fourth proportional to 27,538, 38,012.28 and 16,360 is: 22,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538 : 38,012.28 = 16,360 : x
  2. Step 2: Convert to fraction form
    27,538/38,012.28 = 16,360/x
  3. Step 3: Cross multiply
    27,538x = 38,012.28 × 16,360
  4. Step 4: Simplify right side
    27,538x = 621,880,900.80
  5. Step 5: Solve for x
    x = 621,880,900.80/27,538
  6. Step 6: Final answer
    x = 22,582.65

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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.