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Finding the Fourth Proportional to 17,922.81, 24,733.58 and 9,965.78

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Solution

The fourth proportional to 17,922.81, 24,733.58 and 9,965.78 is: 13,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.81 : 24,733.58 = 9,965.78 : x
  2. Step 2: Convert to fraction form
    17,922.81/24,733.58 = 9,965.78/x
  3. Step 3: Cross multiply
    17,922.81x = 24,733.58 × 9,965.78
  4. Step 4: Simplify right side
    17,922.81x = 246,489,243.40
  5. Step 5: Solve for x
    x = 246,489,243.40/17,922.81
  6. Step 6: Final answer
    x = 13,752.82

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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.