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Finding the Fourth Proportional to 17,652.86, 24,362.96 and 9,695.82

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Solution

The fourth proportional to 17,652.86, 24,362.96 and 9,695.82 is: 13,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.86 : 24,362.96 = 9,695.82 : x
  2. Step 2: Convert to fraction form
    17,652.86/24,362.96 = 9,695.82/x
  3. Step 3: Cross multiply
    17,652.86x = 24,362.96 × 9,695.82
  4. Step 4: Simplify right side
    17,652.86x = 236,218,874.83
  5. Step 5: Solve for x
    x = 236,218,874.83/17,652.86
  6. Step 6: Final answer
    x = 13,381.34

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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.