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Finding the Fourth Proportional to 20,261.45, 30,397.02 and 6,410.45

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Solution

The fourth proportional to 20,261.45, 30,397.02 and 6,410.45 is: 9,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.45 : 30,397.02 = 6,410.45 : x
  2. Step 2: Convert to fraction form
    20,261.45/30,397.02 = 6,410.45/x
  3. Step 3: Cross multiply
    20,261.45x = 30,397.02 × 6,410.45
  4. Step 4: Simplify right side
    20,261.45x = 194,858,424.87
  5. Step 5: Solve for x
    x = 194,858,424.87/20,261.45
  6. Step 6: Final answer
    x = 9,617.20

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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.