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Finding the Fourth Proportional to 21,529.60, 32,309.32 and 8,382.08

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Solution

The fourth proportional to 21,529.60, 32,309.32 and 8,382.08 is: 12,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.60 : 32,309.32 = 8,382.08 : x
  2. Step 2: Convert to fraction form
    21,529.60/32,309.32 = 8,382.08/x
  3. Step 3: Cross multiply
    21,529.60x = 32,309.32 × 8,382.08
  4. Step 4: Simplify right side
    21,529.60x = 270,819,304.99
  5. Step 5: Solve for x
    x = 270,819,304.99/21,529.60
  6. Step 6: Final answer
    x = 12,578.93

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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.