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Finding the Fourth Proportional to 17,632.20, 24,332.80 and 9,674.44

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Solution

The fourth proportional to 17,632.20, 24,332.80 and 9,674.44 is: 13,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.20 : 24,332.80 = 9,674.44 : x
  2. Step 2: Convert to fraction form
    17,632.20/24,332.80 = 9,674.44/x
  3. Step 3: Cross multiply
    17,632.20x = 24,332.80 × 9,674.44
  4. Step 4: Simplify right side
    17,632.20x = 235,406,213.63
  5. Step 5: Solve for x
    x = 235,406,213.63/17,632.20
  6. Step 6: Final answer
    x = 13,350.93

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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.