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Finding the Fourth Proportional to 21,803.68, 32,699.40 and 6,217.12

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Solution

The fourth proportional to 21,803.68, 32,699.40 and 6,217.12 is: 9,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,803.68 : 32,699.40 = 6,217.12 : x
  2. Step 2: Convert to fraction form
    21,803.68/32,699.40 = 6,217.12/x
  3. Step 3: Cross multiply
    21,803.68x = 32,699.40 × 6,217.12
  4. Step 4: Simplify right side
    21,803.68x = 203,296,093.73
  5. Step 5: Solve for x
    x = 203,296,093.73/21,803.68
  6. Step 6: Final answer
    x = 9,323.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.