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Finding the Fourth Proportional to 27,794.34, 41,666.40 and 10,259.87

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Solution

The fourth proportional to 27,794.34, 41,666.40 and 10,259.87 is: 15,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.34 : 41,666.40 = 10,259.87 : x
  2. Step 2: Convert to fraction form
    27,794.34/41,666.40 = 10,259.87/x
  3. Step 3: Cross multiply
    27,794.34x = 41,666.40 × 10,259.87
  4. Step 4: Simplify right side
    27,794.34x = 427,491,639.04
  5. Step 5: Solve for x
    x = 427,491,639.04/27,794.34
  6. Step 6: Final answer
    x = 15,380.53

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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.