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Finding the Fourth Proportional to 17,796.80, 24,561.14 and 9,840.56

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Solution

The fourth proportional to 17,796.80, 24,561.14 and 9,840.56 is: 13,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796.80 : 24,561.14 = 9,840.56 : x
  2. Step 2: Convert to fraction form
    17,796.80/24,561.14 = 9,840.56/x
  3. Step 3: Cross multiply
    17,796.80x = 24,561.14 × 9,840.56
  4. Step 4: Simplify right side
    17,796.80x = 241,695,199.83
  5. Step 5: Solve for x
    x = 241,695,199.83/17,796.80
  6. Step 6: Final answer
    x = 13,580.82

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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.