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Finding the Fourth Proportional to 27,186.31, 40,772.07 and 7,460.20

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Solution

The fourth proportional to 27,186.31, 40,772.07 and 7,460.20 is: 11,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.31 : 40,772.07 = 7,460.20 : x
  2. Step 2: Convert to fraction form
    27,186.31/40,772.07 = 7,460.20/x
  3. Step 3: Cross multiply
    27,186.31x = 40,772.07 × 7,460.20
  4. Step 4: Simplify right side
    27,186.31x = 304,167,796.61
  5. Step 5: Solve for x
    x = 304,167,796.61/27,186.31
  6. Step 6: Final answer
    x = 11,188.27

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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.