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Finding the Fourth Proportional to 21,338.37, 32,023.89 and 9,659.79

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Solution

The fourth proportional to 21,338.37, 32,023.89 and 9,659.79 is: 14,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.37 : 32,023.89 = 9,659.79 : x
  2. Step 2: Convert to fraction form
    21,338.37/32,023.89 = 9,659.79/x
  3. Step 3: Cross multiply
    21,338.37x = 32,023.89 × 9,659.79
  4. Step 4: Simplify right side
    21,338.37x = 309,344,052.38
  5. Step 5: Solve for x
    x = 309,344,052.38/21,338.37
  6. Step 6: Final answer
    x = 14,497.08

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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.