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Finding the Fourth Proportional to 17,879.16, 24,656.07 and 10,707.92

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Solution

The fourth proportional to 17,879.16, 24,656.07 and 10,707.92 is: 14,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.16 : 24,656.07 = 10,707.92 : x
  2. Step 2: Convert to fraction form
    17,879.16/24,656.07 = 10,707.92/x
  3. Step 3: Cross multiply
    17,879.16x = 24,656.07 × 10,707.92
  4. Step 4: Simplify right side
    17,879.16x = 264,015,326.87
  5. Step 5: Solve for x
    x = 264,015,326.87/17,879.16
  6. Step 6: Final answer
    x = 14,766.65

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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.