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Finding the Fourth Proportional to 13,196.49, 19,797.61 and 4,431.17

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Solution

The fourth proportional to 13,196.49, 19,797.61 and 4,431.17 is: 6,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.49 : 19,797.61 = 4,431.17 : x
  2. Step 2: Convert to fraction form
    13,196.49/19,797.61 = 4,431.17/x
  3. Step 3: Cross multiply
    13,196.49x = 19,797.61 × 4,431.17
  4. Step 4: Simplify right side
    13,196.49x = 87,726,575.50
  5. Step 5: Solve for x
    x = 87,726,575.50/13,196.49
  6. Step 6: Final answer
    x = 6,647.72

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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.