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Finding the Fourth Proportional to 16,096.90, 24,139.41 and 5,564.24

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Solution

The fourth proportional to 16,096.90, 24,139.41 and 5,564.24 is: 8,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.90 : 24,139.41 = 5,564.24 : x
  2. Step 2: Convert to fraction form
    16,096.90/24,139.41 = 5,564.24/x
  3. Step 3: Cross multiply
    16,096.90x = 24,139.41 × 5,564.24
  4. Step 4: Simplify right side
    16,096.90x = 134,317,470.70
  5. Step 5: Solve for x
    x = 134,317,470.70/16,096.90
  6. Step 6: Final answer
    x = 8,344.31

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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.