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Finding the Fourth Proportional to 21,662.60, 32,489.04 and 9,964.60

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Solution

The fourth proportional to 21,662.60, 32,489.04 and 9,964.60 is: 14,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.60 : 32,489.04 = 9,964.60 : x
  2. Step 2: Convert to fraction form
    21,662.60/32,489.04 = 9,964.60/x
  3. Step 3: Cross multiply
    21,662.60x = 32,489.04 × 9,964.60
  4. Step 4: Simplify right side
    21,662.60x = 323,740,287.98
  5. Step 5: Solve for x
    x = 323,740,287.98/21,662.60
  6. Step 6: Final answer
    x = 14,944.66

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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.