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Finding the Fourth Proportional to 13,019.69, 17,975.18 and 10,029.78

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Solution

The fourth proportional to 13,019.69, 17,975.18 and 10,029.78 is: 13,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.69 : 17,975.18 = 10,029.78 : x
  2. Step 2: Convert to fraction form
    13,019.69/17,975.18 = 10,029.78/x
  3. Step 3: Cross multiply
    13,019.69x = 17,975.18 × 10,029.78
  4. Step 4: Simplify right side
    13,019.69x = 180,287,125.93
  5. Step 5: Solve for x
    x = 180,287,125.93/13,019.69
  6. Step 6: Final answer
    x = 13,847.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.