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Finding the Fourth Proportional to 27,186.47, 40,773.39 and 7,466.61

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Solution

The fourth proportional to 27,186.47, 40,773.39 and 7,466.61 is: 11,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.47 : 40,773.39 = 7,466.61 : x
  2. Step 2: Convert to fraction form
    27,186.47/40,773.39 = 7,466.61/x
  3. Step 3: Cross multiply
    27,186.47x = 40,773.39 × 7,466.61
  4. Step 4: Simplify right side
    27,186.47x = 304,439,001.51
  5. Step 5: Solve for x
    x = 304,439,001.51/27,186.47
  6. Step 6: Final answer
    x = 11,198.18

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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.