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Finding the Fourth Proportional to 20,229.93, 30,322.98 and 10,355.67

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Solution

The fourth proportional to 20,229.93, 30,322.98 and 10,355.67 is: 15,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.93 : 30,322.98 = 10,355.67 : x
  2. Step 2: Convert to fraction form
    20,229.93/30,322.98 = 10,355.67/x
  3. Step 3: Cross multiply
    20,229.93x = 30,322.98 × 10,355.67
  4. Step 4: Simplify right side
    20,229.93x = 314,014,774.30
  5. Step 5: Solve for x
    x = 314,014,774.30/20,229.93
  6. Step 6: Final answer
    x = 15,522.29

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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.