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Finding the Fourth Proportional to 17,695.64, 24,421.62 and 9,739.48

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Solution

The fourth proportional to 17,695.64, 24,421.62 and 9,739.48 is: 13,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.64 : 24,421.62 = 9,739.48 : x
  2. Step 2: Convert to fraction form
    17,695.64/24,421.62 = 9,739.48/x
  3. Step 3: Cross multiply
    17,695.64x = 24,421.62 × 9,739.48
  4. Step 4: Simplify right side
    17,695.64x = 237,853,879.56
  5. Step 5: Solve for x
    x = 237,853,879.56/17,695.64
  6. Step 6: Final answer
    x = 13,441.38

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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.