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Finding the Fourth Proportional to 13,034, 19,550.80 and 3,173.29

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Solution

The fourth proportional to 13,034, 19,550.80 and 3,173.29 is: 4,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034 : 19,550.80 = 3,173.29 : x
  2. Step 2: Convert to fraction form
    13,034/19,550.80 = 3,173.29/x
  3. Step 3: Cross multiply
    13,034x = 19,550.80 × 3,173.29
  4. Step 4: Simplify right side
    13,034x = 62,040,358.13
  5. Step 5: Solve for x
    x = 62,040,358.13/13,034
  6. Step 6: Final answer
    x = 4,759.89

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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.