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Finding the Fourth Proportional to 17,652.86, 24,361.12 and 9,695.25

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Solution

The fourth proportional to 17,652.86, 24,361.12 and 9,695.25 is: 13,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.86 : 24,361.12 = 9,695.25 : x
  2. Step 2: Convert to fraction form
    17,652.86/24,361.12 = 9,695.25/x
  3. Step 3: Cross multiply
    17,652.86x = 24,361.12 × 9,695.25
  4. Step 4: Simplify right side
    17,652.86x = 236,187,148.68
  5. Step 5: Solve for x
    x = 236,187,148.68/17,652.86
  6. Step 6: Final answer
    x = 13,379.54

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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.