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Finding the Fourth Proportional to 17,753.57, 24,500.07 and 9,796.32

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Solution

The fourth proportional to 17,753.57, 24,500.07 and 9,796.32 is: 13,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.57 : 24,500.07 = 9,796.32 : x
  2. Step 2: Convert to fraction form
    17,753.57/24,500.07 = 9,796.32/x
  3. Step 3: Cross multiply
    17,753.57x = 24,500.07 × 9,796.32
  4. Step 4: Simplify right side
    17,753.57x = 240,010,525.74
  5. Step 5: Solve for x
    x = 240,010,525.74/17,753.57
  6. Step 6: Final answer
    x = 13,519.00

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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.