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Finding the Fourth Proportional to 17,755.50, 24,502.56 and 9,797.72

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Solution

The fourth proportional to 17,755.50, 24,502.56 and 9,797.72 is: 13,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.50 : 24,502.56 = 9,797.72 : x
  2. Step 2: Convert to fraction form
    17,755.50/24,502.56 = 9,797.72/x
  3. Step 3: Cross multiply
    17,755.50x = 24,502.56 × 9,797.72
  4. Step 4: Simplify right side
    17,755.50x = 240,069,222.16
  5. Step 5: Solve for x
    x = 240,069,222.16/17,755.50
  6. Step 6: Final answer
    x = 13,520.84

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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.