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Finding the Fourth Proportional to 27,241.66, 40,858.89 and 10,606.78

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Solution

The fourth proportional to 27,241.66, 40,858.89 and 10,606.78 is: 15,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.66 : 40,858.89 = 10,606.78 : x
  2. Step 2: Convert to fraction form
    27,241.66/40,858.89 = 10,606.78/x
  3. Step 3: Cross multiply
    27,241.66x = 40,858.89 × 10,606.78
  4. Step 4: Simplify right side
    27,241.66x = 433,381,257.27
  5. Step 5: Solve for x
    x = 433,381,257.27/27,241.66
  6. Step 6: Final answer
    x = 15,908.77

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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.