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Finding the Fourth Proportional to 17,631.86, 24,332.00 and 9,674.15

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Solution

The fourth proportional to 17,631.86, 24,332.00 and 9,674.15 is: 13,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.86 : 24,332.00 = 9,674.15 : x
  2. Step 2: Convert to fraction form
    17,631.86/24,332.00 = 9,674.15/x
  3. Step 3: Cross multiply
    17,631.86x = 24,332.00 × 9,674.15
  4. Step 4: Simplify right side
    17,631.86x = 235,391,247.77
  5. Step 5: Solve for x
    x = 235,391,247.77/17,631.86
  6. Step 6: Final answer
    x = 13,350.34

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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.