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Finding the Fourth Proportional to 17,131.92, 25,686.54 and 9,739.86

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Solution

The fourth proportional to 17,131.92, 25,686.54 and 9,739.86 is: 14,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.92 : 25,686.54 = 9,739.86 : x
  2. Step 2: Convert to fraction form
    17,131.92/25,686.54 = 9,739.86/x
  3. Step 3: Cross multiply
    17,131.92x = 25,686.54 × 9,739.86
  4. Step 4: Simplify right side
    17,131.92x = 250,183,303.48
  5. Step 5: Solve for x
    x = 250,183,303.48/17,131.92
  6. Step 6: Final answer
    x = 14,603.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.