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Finding the Fourth Proportional to 20,224.61, 30,346.32 and 7,740.52

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Solution

The fourth proportional to 20,224.61, 30,346.32 and 7,740.52 is: 11,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.61 : 30,346.32 = 7,740.52 : x
  2. Step 2: Convert to fraction form
    20,224.61/30,346.32 = 7,740.52/x
  3. Step 3: Cross multiply
    20,224.61x = 30,346.32 × 7,740.52
  4. Step 4: Simplify right side
    20,224.61x = 234,896,296.89
  5. Step 5: Solve for x
    x = 234,896,296.89/20,224.61
  6. Step 6: Final answer
    x = 11,614.38

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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.