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Finding the Fourth Proportional to 17,572.36, 24,249.82 and 9,614.56

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Solution

The fourth proportional to 17,572.36, 24,249.82 and 9,614.56 is: 13,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572.36 : 24,249.82 = 9,614.56 : x
  2. Step 2: Convert to fraction form
    17,572.36/24,249.82 = 9,614.56/x
  3. Step 3: Cross multiply
    17,572.36x = 24,249.82 × 9,614.56
  4. Step 4: Simplify right side
    17,572.36x = 233,151,349.38
  5. Step 5: Solve for x
    x = 233,151,349.38/17,572.36
  6. Step 6: Final answer
    x = 13,268.07

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Why These Related Problems?

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