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Finding the Fourth Proportional to 27,184.44, 40,769.26 and 7,458.32

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Solution

The fourth proportional to 27,184.44, 40,769.26 and 7,458.32 is: 11,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.44 : 40,769.26 = 7,458.32 : x
  2. Step 2: Convert to fraction form
    27,184.44/40,769.26 = 7,458.32/x
  3. Step 3: Cross multiply
    27,184.44x = 40,769.26 × 7,458.32
  4. Step 4: Simplify right side
    27,184.44x = 304,070,187.24
  5. Step 5: Solve for x
    x = 304,070,187.24/27,184.44
  6. Step 6: Final answer
    x = 11,185.45

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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.