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Finding the Fourth Proportional to 16,244.98, 24,370.50 and 5,148.69

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Solution

The fourth proportional to 16,244.98, 24,370.50 and 5,148.69 is: 7,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.98 : 24,370.50 = 5,148.69 : x
  2. Step 2: Convert to fraction form
    16,244.98/24,370.50 = 5,148.69/x
  3. Step 3: Cross multiply
    16,244.98x = 24,370.50 × 5,148.69
  4. Step 4: Simplify right side
    16,244.98x = 125,476,014.92
  5. Step 5: Solve for x
    x = 125,476,014.92/16,244.98
  6. Step 6: Final answer
    x = 7,723.99

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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.