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Finding the Fourth Proportional to 16,199.70, 24,299.50 and 5,107.36

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Solution

The fourth proportional to 16,199.70, 24,299.50 and 5,107.36 is: 7,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.70 : 24,299.50 = 5,107.36 : x
  2. Step 2: Convert to fraction form
    16,199.70/24,299.50 = 5,107.36/x
  3. Step 3: Cross multiply
    16,199.70x = 24,299.50 × 5,107.36
  4. Step 4: Simplify right side
    16,199.70x = 124,106,294.32
  5. Step 5: Solve for x
    x = 124,106,294.32/16,199.70
  6. Step 6: Final answer
    x = 7,661.02

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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.