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Finding the Fourth Proportional to 27,622.74, 41,434.08 and 6,846.24

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Solution

The fourth proportional to 27,622.74, 41,434.08 and 6,846.24 is: 10,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.74 : 41,434.08 = 6,846.24 : x
  2. Step 2: Convert to fraction form
    27,622.74/41,434.08 = 6,846.24/x
  3. Step 3: Cross multiply
    27,622.74x = 41,434.08 × 6,846.24
  4. Step 4: Simplify right side
    27,622.74x = 283,667,655.86
  5. Step 5: Solve for x
    x = 283,667,655.86/27,622.74
  6. Step 6: Final answer
    x = 10,269.35

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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.