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Finding the Fourth Proportional to 21,346.52, 32,021.32 and 8,198.89

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Solution

The fourth proportional to 21,346.52, 32,021.32 and 8,198.89 is: 12,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346.52 : 32,021.32 = 8,198.89 : x
  2. Step 2: Convert to fraction form
    21,346.52/32,021.32 = 8,198.89/x
  3. Step 3: Cross multiply
    21,346.52x = 32,021.32 × 8,198.89
  4. Step 4: Simplify right side
    21,346.52x = 262,539,330.61
  5. Step 5: Solve for x
    x = 262,539,330.61/21,346.52
  6. Step 6: Final answer
    x = 12,298.93

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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.