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Finding the Fourth Proportional to 17,697.80, 24,422.04 and 9,738.50

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Solution

The fourth proportional to 17,697.80, 24,422.04 and 9,738.50 is: 13,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.80 : 24,422.04 = 9,738.50 : x
  2. Step 2: Convert to fraction form
    17,697.80/24,422.04 = 9,738.50/x
  3. Step 3: Cross multiply
    17,697.80x = 24,422.04 × 9,738.50
  4. Step 4: Simplify right side
    17,697.80x = 237,833,914.43
  5. Step 5: Solve for x
    x = 237,833,914.43/17,697.80
  6. Step 6: Final answer
    x = 13,438.61

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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.