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Finding the Fourth Proportional to 21,865.20, 32,803.44 and 7,824.66

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Solution

The fourth proportional to 21,865.20, 32,803.44 and 7,824.66 is: 11,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.20 : 32,803.44 = 7,824.66 : x
  2. Step 2: Convert to fraction form
    21,865.20/32,803.44 = 7,824.66/x
  3. Step 3: Cross multiply
    21,865.20x = 32,803.44 × 7,824.66
  4. Step 4: Simplify right side
    21,865.20x = 256,675,764.83
  5. Step 5: Solve for x
    x = 256,675,764.83/21,865.20
  6. Step 6: Final answer
    x = 11,739.01

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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.