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Finding the Fourth Proportional to 17,922.83, 24,733.42 and 9,964.58

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Solution

The fourth proportional to 17,922.83, 24,733.42 and 9,964.58 is: 13,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.83 : 24,733.42 = 9,964.58 : x
  2. Step 2: Convert to fraction form
    17,922.83/24,733.42 = 9,964.58/x
  3. Step 3: Cross multiply
    17,922.83x = 24,733.42 × 9,964.58
  4. Step 4: Simplify right side
    17,922.83x = 246,457,993.69
  5. Step 5: Solve for x
    x = 246,457,993.69/17,922.83
  6. Step 6: Final answer
    x = 13,751.07

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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.