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Finding the Fourth Proportional to 20,223.96, 30,316.35 and 7,734.38

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Solution

The fourth proportional to 20,223.96, 30,316.35 and 7,734.38 is: 11,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.96 : 30,316.35 = 7,734.38 : x
  2. Step 2: Convert to fraction form
    20,223.96/30,316.35 = 7,734.38/x
  3. Step 3: Cross multiply
    20,223.96x = 30,316.35 × 7,734.38
  4. Step 4: Simplify right side
    20,223.96x = 234,478,019.53
  5. Step 5: Solve for x
    x = 234,478,019.53/20,223.96
  6. Step 6: Final answer
    x = 11,594.07

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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.