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Finding the Fourth Proportional to 13,172.26, 19,773.78 and 10,400.80

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Solution

The fourth proportional to 13,172.26, 19,773.78 and 10,400.80 is: 15,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.26 : 19,773.78 = 10,400.80 : x
  2. Step 2: Convert to fraction form
    13,172.26/19,773.78 = 10,400.80/x
  3. Step 3: Cross multiply
    13,172.26x = 19,773.78 × 10,400.80
  4. Step 4: Simplify right side
    13,172.26x = 205,663,131.02
  5. Step 5: Solve for x
    x = 205,663,131.02/13,172.26
  6. Step 6: Final answer
    x = 15,613.35

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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.