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Finding the Fourth Proportional to 27,188.36, 40,777.66 and 7,464.32

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Solution

The fourth proportional to 27,188.36, 40,777.66 and 7,464.32 is: 11,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.36 : 40,777.66 = 7,464.32 : x
  2. Step 2: Convert to fraction form
    27,188.36/40,777.66 = 7,464.32/x
  3. Step 3: Cross multiply
    27,188.36x = 40,777.66 × 7,464.32
  4. Step 4: Simplify right side
    27,188.36x = 304,377,503.09
  5. Step 5: Solve for x
    x = 304,377,503.09/27,188.36
  6. Step 6: Final answer
    x = 11,195.14

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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.