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Finding the Fourth Proportional to 12,862.26, 19,293.03 and 4,097.70

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Solution

The fourth proportional to 12,862.26, 19,293.03 and 4,097.70 is: 6,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.26 : 19,293.03 = 4,097.70 : x
  2. Step 2: Convert to fraction form
    12,862.26/19,293.03 = 4,097.70/x
  3. Step 3: Cross multiply
    12,862.26x = 19,293.03 × 4,097.70
  4. Step 4: Simplify right side
    12,862.26x = 79,057,049.03
  5. Step 5: Solve for x
    x = 79,057,049.03/12,862.26
  6. Step 6: Final answer
    x = 6,146.44

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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.