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Finding the Fourth Proportional to 17,827.24, 24,601.94 and 9,869.24

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Solution

The fourth proportional to 17,827.24, 24,601.94 and 9,869.24 is: 13,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.24 : 24,601.94 = 9,869.24 : x
  2. Step 2: Convert to fraction form
    17,827.24/24,601.94 = 9,869.24/x
  3. Step 3: Cross multiply
    17,827.24x = 24,601.94 × 9,869.24
  4. Step 4: Simplify right side
    17,827.24x = 242,802,450.33
  5. Step 5: Solve for x
    x = 242,802,450.33/17,827.24
  6. Step 6: Final answer
    x = 13,619.74

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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.