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Finding the Fourth Proportional to 21,093.80, 31,643.40 and 7,767.68

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Solution

The fourth proportional to 21,093.80, 31,643.40 and 7,767.68 is: 11,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.80 : 31,643.40 = 7,767.68 : x
  2. Step 2: Convert to fraction form
    21,093.80/31,643.40 = 7,767.68/x
  3. Step 3: Cross multiply
    21,093.80x = 31,643.40 × 7,767.68
  4. Step 4: Simplify right side
    21,093.80x = 245,795,805.31
  5. Step 5: Solve for x
    x = 245,795,805.31/21,093.80
  6. Step 6: Final answer
    x = 11,652.51

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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.