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Finding the Fourth Proportional to 27,475.46, 41,213.22 and 9,941.18

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Solution

The fourth proportional to 27,475.46, 41,213.22 and 9,941.18 is: 14,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.46 : 41,213.22 = 9,941.18 : x
  2. Step 2: Convert to fraction form
    27,475.46/41,213.22 = 9,941.18/x
  3. Step 3: Cross multiply
    27,475.46x = 41,213.22 × 9,941.18
  4. Step 4: Simplify right side
    27,475.46x = 409,708,038.40
  5. Step 5: Solve for x
    x = 409,708,038.40/27,475.46
  6. Step 6: Final answer
    x = 14,911.78

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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.