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Finding the Fourth Proportional to 17,826.67, 24,601.22 and 9,869.23

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Solution

The fourth proportional to 17,826.67, 24,601.22 and 9,869.23 is: 13,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.67 : 24,601.22 = 9,869.23 : x
  2. Step 2: Convert to fraction form
    17,826.67/24,601.22 = 9,869.23/x
  3. Step 3: Cross multiply
    17,826.67x = 24,601.22 × 9,869.23
  4. Step 4: Simplify right side
    17,826.67x = 242,795,098.46
  5. Step 5: Solve for x
    x = 242,795,098.46/17,826.67
  6. Step 6: Final answer
    x = 13,619.77

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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.