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Finding the Fourth Proportional to 21,333.64, 32,004.10 and 9,491.62

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Solution

The fourth proportional to 21,333.64, 32,004.10 and 9,491.62 is: 14,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.64 : 32,004.10 = 9,491.62 : x
  2. Step 2: Convert to fraction form
    21,333.64/32,004.10 = 9,491.62/x
  3. Step 3: Cross multiply
    21,333.64x = 32,004.10 × 9,491.62
  4. Step 4: Simplify right side
    21,333.64x = 303,770,755.64
  5. Step 5: Solve for x
    x = 303,770,755.64/21,333.64
  6. Step 6: Final answer
    x = 14,239.05

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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.