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Finding the Fourth Proportional to 17,632.32, 24,332.77 and 9,674.83

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Solution

The fourth proportional to 17,632.32, 24,332.77 and 9,674.83 is: 13,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.32 : 24,332.77 = 9,674.83 : x
  2. Step 2: Convert to fraction form
    17,632.32/24,332.77 = 9,674.83/x
  3. Step 3: Cross multiply
    17,632.32x = 24,332.77 × 9,674.83
  4. Step 4: Simplify right side
    17,632.32x = 235,415,419.41
  5. Step 5: Solve for x
    x = 235,415,419.41/17,632.32
  6. Step 6: Final answer
    x = 13,351.36

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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.