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Finding the Fourth Proportional to 17,632.44, 24,332.94 and 9,674.82

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Solution

The fourth proportional to 17,632.44, 24,332.94 and 9,674.82 is: 13,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.44 : 24,332.94 = 9,674.82 : x
  2. Step 2: Convert to fraction form
    17,632.44/24,332.94 = 9,674.82/x
  3. Step 3: Cross multiply
    17,632.44x = 24,332.94 × 9,674.82
  4. Step 4: Simplify right side
    17,632.44x = 235,416,814.57
  5. Step 5: Solve for x
    x = 235,416,814.57/17,632.44
  6. Step 6: Final answer
    x = 13,351.35

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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.