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Finding the Fourth Proportional to 20,344.16, 30,497.78 and 7,872.53

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Solution

The fourth proportional to 20,344.16, 30,497.78 and 7,872.53 is: 11,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.16 : 30,497.78 = 7,872.53 : x
  2. Step 2: Convert to fraction form
    20,344.16/30,497.78 = 7,872.53/x
  3. Step 3: Cross multiply
    20,344.16x = 30,497.78 × 7,872.53
  4. Step 4: Simplify right side
    20,344.16x = 240,094,555.18
  5. Step 5: Solve for x
    x = 240,094,555.18/20,344.16
  6. Step 6: Final answer
    x = 11,801.64

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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.