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Finding the Fourth Proportional to 27,873.76, 38,468.43 and 15,934.76

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Solution

The fourth proportional to 27,873.76, 38,468.43 and 15,934.76 is: 21,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.76 : 38,468.43 = 15,934.76 : x
  2. Step 2: Convert to fraction form
    27,873.76/38,468.43 = 15,934.76/x
  3. Step 3: Cross multiply
    27,873.76x = 38,468.43 × 15,934.76
  4. Step 4: Simplify right side
    27,873.76x = 612,985,199.63
  5. Step 5: Solve for x
    x = 612,985,199.63/27,873.76
  6. Step 6: Final answer
    x = 21,991.48

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1.5x scale

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.