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Finding the Fourth Proportional to 27,776.16, 38,331.17 and 15,200.91

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Solution

The fourth proportional to 27,776.16, 38,331.17 and 15,200.91 is: 20,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.16 : 38,331.17 = 15,200.91 : x
  2. Step 2: Convert to fraction form
    27,776.16/38,331.17 = 15,200.91/x
  3. Step 3: Cross multiply
    27,776.16x = 38,331.17 × 15,200.91
  4. Step 4: Simplify right side
    27,776.16x = 582,668,703.37
  5. Step 5: Solve for x
    x = 582,668,703.37/27,776.16
  6. Step 6: Final answer
    x = 20,977.30

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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.