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Finding the Fourth Proportional to 17,727.80, 24,464.37 and 9,661.46

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Solution

The fourth proportional to 17,727.80, 24,464.37 and 9,661.46 is: 13,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.80 : 24,464.37 = 9,661.46 : x
  2. Step 2: Convert to fraction form
    17,727.80/24,464.37 = 9,661.46/x
  3. Step 3: Cross multiply
    17,727.80x = 24,464.37 × 9,661.46
  4. Step 4: Simplify right side
    17,727.80x = 236,361,422.71
  5. Step 5: Solve for x
    x = 236,361,422.71/17,727.80
  6. Step 6: Final answer
    x = 13,332.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.