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Finding the Fourth Proportional to 17,572.34, 24,249.62 and 9,614.48

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Solution

The fourth proportional to 17,572.34, 24,249.62 and 9,614.48 is: 13,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572.34 : 24,249.62 = 9,614.48 : x
  2. Step 2: Convert to fraction form
    17,572.34/24,249.62 = 9,614.48/x
  3. Step 3: Cross multiply
    17,572.34x = 24,249.62 × 9,614.48
  4. Step 4: Simplify right side
    17,572.34x = 233,147,317.18
  5. Step 5: Solve for x
    x = 233,147,317.18/17,572.34
  6. Step 6: Final answer
    x = 13,267.86

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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.