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Finding the Fourth Proportional to 17,928.82, 24,739.74 and 9,970.56

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Solution

The fourth proportional to 17,928.82, 24,739.74 and 9,970.56 is: 13,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.82 : 24,739.74 = 9,970.56 : x
  2. Step 2: Convert to fraction form
    17,928.82/24,739.74 = 9,970.56/x
  3. Step 3: Cross multiply
    17,928.82x = 24,739.74 × 9,970.56
  4. Step 4: Simplify right side
    17,928.82x = 246,669,062.05
  5. Step 5: Solve for x
    x = 246,669,062.05/17,928.82
  6. Step 6: Final answer
    x = 13,758.24

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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.