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Finding the Fourth Proportional to 21,664.62, 32,504.16 and 9,969

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Solution

The fourth proportional to 21,664.62, 32,504.16 and 9,969 is: 14,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.62 : 32,504.16 = 9,969 : x
  2. Step 2: Convert to fraction form
    21,664.62/32,504.16 = 9,969/x
  3. Step 3: Cross multiply
    21,664.62x = 32,504.16 × 9,969
  4. Step 4: Simplify right side
    21,664.62x = 324,033,971.04
  5. Step 5: Solve for x
    x = 324,033,971.04/21,664.62
  6. Step 6: Final answer
    x = 14,956.83

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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.