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Finding the Fourth Proportional to 27,671.74, 38,186.82 and 15,735.08

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Solution

The fourth proportional to 27,671.74, 38,186.82 and 15,735.08 is: 21,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.74 : 38,186.82 = 15,735.08 : x
  2. Step 2: Convert to fraction form
    27,671.74/38,186.82 = 15,735.08/x
  3. Step 3: Cross multiply
    27,671.74x = 38,186.82 × 15,735.08
  4. Step 4: Simplify right side
    27,671.74x = 600,872,667.65
  5. Step 5: Solve for x
    x = 600,872,667.65/27,671.74
  6. Step 6: Final answer
    x = 21,714.31

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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.