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Finding the Fourth Proportional to 17,739.86, 24,480.86 and 9,782.42

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Solution

The fourth proportional to 17,739.86, 24,480.86 and 9,782.42 is: 13,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739.86 : 24,480.86 = 9,782.42 : x
  2. Step 2: Convert to fraction form
    17,739.86/24,480.86 = 9,782.42/x
  3. Step 3: Cross multiply
    17,739.86x = 24,480.86 × 9,782.42
  4. Step 4: Simplify right side
    17,739.86x = 239,482,054.48
  5. Step 5: Solve for x
    x = 239,482,054.48/17,739.86
  6. Step 6: Final answer
    x = 13,499.66

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1.5x scale

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.