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Finding the Fourth Proportional to 15,314.30, 22,971.54 and 5,453.96

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Solution

The fourth proportional to 15,314.30, 22,971.54 and 5,453.96 is: 8,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.30 : 22,971.54 = 5,453.96 : x
  2. Step 2: Convert to fraction form
    15,314.30/22,971.54 = 5,453.96/x
  3. Step 3: Cross multiply
    15,314.30x = 22,971.54 × 5,453.96
  4. Step 4: Simplify right side
    15,314.30x = 125,285,860.30
  5. Step 5: Solve for x
    x = 125,285,860.30/15,314.30
  6. Step 6: Final answer
    x = 8,180.97

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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.