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Finding the Fourth Proportional to 27,671.46, 38,186.43 and 15,734.80

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Solution

The fourth proportional to 27,671.46, 38,186.43 and 15,734.80 is: 21,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.46 : 38,186.43 = 15,734.80 : x
  2. Step 2: Convert to fraction form
    27,671.46/38,186.43 = 15,734.80/x
  3. Step 3: Cross multiply
    27,671.46x = 38,186.43 × 15,734.80
  4. Step 4: Simplify right side
    27,671.46x = 600,855,838.76
  5. Step 5: Solve for x
    x = 600,855,838.76/27,671.46
  6. Step 6: Final answer
    x = 21,713.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.