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Finding the Fourth Proportional to 15,866.48, 21,895.25 and 9,155.83

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Solution

The fourth proportional to 15,866.48, 21,895.25 and 9,155.83 is: 12,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.48 : 21,895.25 = 9,155.83 : x
  2. Step 2: Convert to fraction form
    15,866.48/21,895.25 = 9,155.83/x
  3. Step 3: Cross multiply
    15,866.48x = 21,895.25 × 9,155.83
  4. Step 4: Simplify right side
    15,866.48x = 200,469,141.03
  5. Step 5: Solve for x
    x = 200,469,141.03/15,866.48
  6. Step 6: Final answer
    x = 12,634.76

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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.