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Finding the Fourth Proportional to 21,178.68, 31,745.60 and 7,843.08

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Solution

The fourth proportional to 21,178.68, 31,745.60 and 7,843.08 is: 11,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.68 : 31,745.60 = 7,843.08 : x
  2. Step 2: Convert to fraction form
    21,178.68/31,745.60 = 7,843.08/x
  3. Step 3: Cross multiply
    21,178.68x = 31,745.60 × 7,843.08
  4. Step 4: Simplify right side
    21,178.68x = 248,983,280.45
  5. Step 5: Solve for x
    x = 248,983,280.45/21,178.68
  6. Step 6: Final answer
    x = 11,756.32

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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.