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Finding the Fourth Proportional to 27,187.96, 40,781.94 and 7,466.62

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Solution

The fourth proportional to 27,187.96, 40,781.94 and 7,466.62 is: 11,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.96 : 40,781.94 = 7,466.62 : x
  2. Step 2: Convert to fraction form
    27,187.96/40,781.94 = 7,466.62/x
  3. Step 3: Cross multiply
    27,187.96x = 40,781.94 × 7,466.62
  4. Step 4: Simplify right side
    27,187.96x = 304,503,248.84
  5. Step 5: Solve for x
    x = 304,503,248.84/27,187.96
  6. Step 6: Final answer
    x = 11,199.93

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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.