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Finding the Fourth Proportional to 25,447.69, 38,174.37 and 8,809.21

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Solution

The fourth proportional to 25,447.69, 38,174.37 and 8,809.21 is: 13,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447.69 : 38,174.37 = 8,809.21 : x
  2. Step 2: Convert to fraction form
    25,447.69/38,174.37 = 8,809.21/x
  3. Step 3: Cross multiply
    25,447.69x = 38,174.37 × 8,809.21
  4. Step 4: Simplify right side
    25,447.69x = 336,285,807.03
  5. Step 5: Solve for x
    x = 336,285,807.03/25,447.69
  6. Step 6: Final answer
    x = 13,214.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.