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Finding the Fourth Proportional to 16,217.20, 24,317.69 and 7,444.63

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Solution

The fourth proportional to 16,217.20, 24,317.69 and 7,444.63 is: 11,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.20 : 24,317.69 = 7,444.63 : x
  2. Step 2: Convert to fraction form
    16,217.20/24,317.69 = 7,444.63/x
  3. Step 3: Cross multiply
    16,217.20x = 24,317.69 × 7,444.63
  4. Step 4: Simplify right side
    16,217.20x = 181,036,204.50
  5. Step 5: Solve for x
    x = 181,036,204.50/16,217.20
  6. Step 6: Final answer
    x = 11,163.22

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Why These Related Problems?

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