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Finding the Fourth Proportional to 21,284.80, 31,927.26 and 7,433.80

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Solution

The fourth proportional to 21,284.80, 31,927.26 and 7,433.80 is: 11,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.80 : 31,927.26 = 7,433.80 : x
  2. Step 2: Convert to fraction form
    21,284.80/31,927.26 = 7,433.80/x
  3. Step 3: Cross multiply
    21,284.80x = 31,927.26 × 7,433.80
  4. Step 4: Simplify right side
    21,284.80x = 237,340,865.39
  5. Step 5: Solve for x
    x = 237,340,865.39/21,284.80
  6. Step 6: Final answer
    x = 11,150.72

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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.