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Finding the Fourth Proportional to 13,034.24, 19,552.24 and 5,243.08

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Solution

The fourth proportional to 13,034.24, 19,552.24 and 5,243.08 is: 7,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.24 : 19,552.24 = 5,243.08 : x
  2. Step 2: Convert to fraction form
    13,034.24/19,552.24 = 5,243.08/x
  3. Step 3: Cross multiply
    13,034.24x = 19,552.24 × 5,243.08
  4. Step 4: Simplify right side
    13,034.24x = 102,513,958.50
  5. Step 5: Solve for x
    x = 102,513,958.50/13,034.24
  6. Step 6: Final answer
    x = 7,864.97

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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.