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Finding the Fourth Proportional to 27,767.38, 38,319.90 and 15,830.50

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Solution

The fourth proportional to 27,767.38, 38,319.90 and 15,830.50 is: 21,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.38 : 38,319.90 = 15,830.50 : x
  2. Step 2: Convert to fraction form
    27,767.38/38,319.90 = 15,830.50/x
  3. Step 3: Cross multiply
    27,767.38x = 38,319.90 × 15,830.50
  4. Step 4: Simplify right side
    27,767.38x = 606,623,176.95
  5. Step 5: Solve for x
    x = 606,623,176.95/27,767.38
  6. Step 6: Final answer
    x = 21,846.61

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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.