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Finding the Fourth Proportional to 16,029.23, 24,035.09 and 4,932.96

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Solution

The fourth proportional to 16,029.23, 24,035.09 and 4,932.96 is: 7,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.23 : 24,035.09 = 4,932.96 : x
  2. Step 2: Convert to fraction form
    16,029.23/24,035.09 = 4,932.96/x
  3. Step 3: Cross multiply
    16,029.23x = 24,035.09 × 4,932.96
  4. Step 4: Simplify right side
    16,029.23x = 118,564,112.90
  5. Step 5: Solve for x
    x = 118,564,112.90/16,029.23
  6. Step 6: Final answer
    x = 7,396.75

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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.