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Finding the Fourth Proportional to 27,767.53, 38,319.87 and 15,832

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Solution

The fourth proportional to 27,767.53, 38,319.87 and 15,832 is: 21,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.53 : 38,319.87 = 15,832 : x
  2. Step 2: Convert to fraction form
    27,767.53/38,319.87 = 15,832/x
  3. Step 3: Cross multiply
    27,767.53x = 38,319.87 × 15,832
  4. Step 4: Simplify right side
    27,767.53x = 606,680,181.84
  5. Step 5: Solve for x
    x = 606,680,181.84/27,767.53
  6. Step 6: Final answer
    x = 21,848.55

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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.