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Finding the Fourth Proportional to 19,241.40, 28,840.23 and 8,141.16

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Solution

The fourth proportional to 19,241.40, 28,840.23 and 8,141.16 is: 12,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,241.40 : 28,840.23 = 8,141.16 : x
  2. Step 2: Convert to fraction form
    19,241.40/28,840.23 = 8,141.16/x
  3. Step 3: Cross multiply
    19,241.40x = 28,840.23 × 8,141.16
  4. Step 4: Simplify right side
    19,241.40x = 234,792,926.87
  5. Step 5: Solve for x
    x = 234,792,926.87/19,241.40
  6. Step 6: Final answer
    x = 12,202.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.