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Finding the Fourth Proportional to 27,856.56, 41,792.16 and 10,331.40

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Solution

The fourth proportional to 27,856.56, 41,792.16 and 10,331.40 is: 15,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.56 : 41,792.16 = 10,331.40 : x
  2. Step 2: Convert to fraction form
    27,856.56/41,792.16 = 10,331.40/x
  3. Step 3: Cross multiply
    27,856.56x = 41,792.16 × 10,331.40
  4. Step 4: Simplify right side
    27,856.56x = 431,771,521.82
  5. Step 5: Solve for x
    x = 431,771,521.82/27,856.56
  6. Step 6: Final answer
    x = 15,499.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.