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Finding the Fourth Proportional to 15,834.15, 21,847.73 and 9,546.39

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Solution

The fourth proportional to 15,834.15, 21,847.73 and 9,546.39 is: 13,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.15 : 21,847.73 = 9,546.39 : x
  2. Step 2: Convert to fraction form
    15,834.15/21,847.73 = 9,546.39/x
  3. Step 3: Cross multiply
    15,834.15x = 21,847.73 × 9,546.39
  4. Step 4: Simplify right side
    15,834.15x = 208,566,903.46
  5. Step 5: Solve for x
    x = 208,566,903.46/15,834.15
  6. Step 6: Final answer
    x = 13,171.97

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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.