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Finding the Fourth Proportional to 13,019, 19,566.80 and 10,812.02

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Solution

The fourth proportional to 13,019, 19,566.80 and 10,812.02 is: 16,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019 : 19,566.80 = 10,812.02 : x
  2. Step 2: Convert to fraction form
    13,019/19,566.80 = 10,812.02/x
  3. Step 3: Cross multiply
    13,019x = 19,566.80 × 10,812.02
  4. Step 4: Simplify right side
    13,019x = 211,556,578.88
  5. Step 5: Solve for x
    x = 211,556,578.88/13,019
  6. Step 6: Final answer
    x = 16,249.83

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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.