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Finding the Fourth Proportional to 21,338.08, 32,011.86 and 8,190.46

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Solution

The fourth proportional to 21,338.08, 32,011.86 and 8,190.46 is: 12,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.08 : 32,011.86 = 8,190.46 : x
  2. Step 2: Convert to fraction form
    21,338.08/32,011.86 = 8,190.46/x
  3. Step 3: Cross multiply
    21,338.08x = 32,011.86 × 8,190.46
  4. Step 4: Simplify right side
    21,338.08x = 262,191,858.86
  5. Step 5: Solve for x
    x = 262,191,858.86/21,338.08
  6. Step 6: Final answer
    x = 12,287.51

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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.