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Finding the Fourth Proportional to 17,753.42, 24,499.32 and 9,796.40

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Solution

The fourth proportional to 17,753.42, 24,499.32 and 9,796.40 is: 13,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.42 : 24,499.32 = 9,796.40 : x
  2. Step 2: Convert to fraction form
    17,753.42/24,499.32 = 9,796.40/x
  3. Step 3: Cross multiply
    17,753.42x = 24,499.32 × 9,796.40
  4. Step 4: Simplify right side
    17,753.42x = 240,005,138.45
  5. Step 5: Solve for x
    x = 240,005,138.45/17,753.42
  6. Step 6: Final answer
    x = 13,518.81

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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.