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Finding the Fourth Proportional to 13,237.97, 19,843.18 and 4,468.10

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Solution

The fourth proportional to 13,237.97, 19,843.18 and 4,468.10 is: 6,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.97 : 19,843.18 = 4,468.10 : x
  2. Step 2: Convert to fraction form
    13,237.97/19,843.18 = 4,468.10/x
  3. Step 3: Cross multiply
    13,237.97x = 19,843.18 × 4,468.10
  4. Step 4: Simplify right side
    13,237.97x = 88,661,202.17
  5. Step 5: Solve for x
    x = 88,661,202.17/13,237.97
  6. Step 6: Final answer
    x = 6,697.49

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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.