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Finding the Fourth Proportional to 27,154.46, 40,731.66 and 7,433.18

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Solution

The fourth proportional to 27,154.46, 40,731.66 and 7,433.18 is: 11,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.46 : 40,731.66 = 7,433.18 : x
  2. Step 2: Convert to fraction form
    27,154.46/40,731.66 = 7,433.18/x
  3. Step 3: Cross multiply
    27,154.46x = 40,731.66 × 7,433.18
  4. Step 4: Simplify right side
    27,154.46x = 302,765,760.48
  5. Step 5: Solve for x
    x = 302,765,760.48/27,154.46
  6. Step 6: Final answer
    x = 11,149.76

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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.