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Finding the Fourth Proportional to 27,741.96, 41,599.98 and 9,261

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Solution

The fourth proportional to 27,741.96, 41,599.98 and 9,261 is: 13,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.96 : 41,599.98 = 9,261 : x
  2. Step 2: Convert to fraction form
    27,741.96/41,599.98 = 9,261/x
  3. Step 3: Cross multiply
    27,741.96x = 41,599.98 × 9,261
  4. Step 4: Simplify right side
    27,741.96x = 385,257,414.78
  5. Step 5: Solve for x
    x = 385,257,414.78/27,741.96
  6. Step 6: Final answer
    x = 13,887.17

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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.