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Finding the Fourth Proportional to 27,178.14, 40,734.18 and 19,764.12

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Solution

The fourth proportional to 27,178.14, 40,734.18 and 19,764.12 is: 29,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.14 : 40,734.18 = 19,764.12 : x
  2. Step 2: Convert to fraction form
    27,178.14/40,734.18 = 19,764.12/x
  3. Step 3: Cross multiply
    27,178.14x = 40,734.18 × 19,764.12
  4. Step 4: Simplify right side
    27,178.14x = 805,075,221.62
  5. Step 5: Solve for x
    x = 805,075,221.62/27,178.14
  6. Step 6: Final answer
    x = 29,622.16

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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.