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Finding the Fourth Proportional to 27,146.49, 40,709.74 and 9,372.61

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Solution

The fourth proportional to 27,146.49, 40,709.74 and 9,372.61 is: 14,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.49 : 40,709.74 = 9,372.61 : x
  2. Step 2: Convert to fraction form
    27,146.49/40,709.74 = 9,372.61/x
  3. Step 3: Cross multiply
    27,146.49x = 40,709.74 × 9,372.61
  4. Step 4: Simplify right side
    27,146.49x = 381,556,561.25
  5. Step 5: Solve for x
    x = 381,556,561.25/27,146.49
  6. Step 6: Final answer
    x = 14,055.46

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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.