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Finding the Fourth Proportional to 20,009.44, 30,009.60 and 7,530.78

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Solution

The fourth proportional to 20,009.44, 30,009.60 and 7,530.78 is: 11,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.44 : 30,009.60 = 7,530.78 : x
  2. Step 2: Convert to fraction form
    20,009.44/30,009.60 = 7,530.78/x
  3. Step 3: Cross multiply
    20,009.44x = 30,009.60 × 7,530.78
  4. Step 4: Simplify right side
    20,009.44x = 225,995,695.49
  5. Step 5: Solve for x
    x = 225,995,695.49/20,009.44
  6. Step 6: Final answer
    x = 11,294.46

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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.