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Finding the Fourth Proportional to 13,599.54, 20,382.90 and 7,022.15

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Solution

The fourth proportional to 13,599.54, 20,382.90 and 7,022.15 is: 10,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.54 : 20,382.90 = 7,022.15 : x
  2. Step 2: Convert to fraction form
    13,599.54/20,382.90 = 7,022.15/x
  3. Step 3: Cross multiply
    13,599.54x = 20,382.90 × 7,022.15
  4. Step 4: Simplify right side
    13,599.54x = 143,131,679.32
  5. Step 5: Solve for x
    x = 143,131,679.32/13,599.54
  6. Step 6: Final answer
    x = 10,524.74

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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.