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Finding the Fourth Proportional to 16,429.68, 24,642.09 and 6,039

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Solution

The fourth proportional to 16,429.68, 24,642.09 and 6,039 is: 9,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.68 : 24,642.09 = 6,039 : x
  2. Step 2: Convert to fraction form
    16,429.68/24,642.09 = 6,039/x
  3. Step 3: Cross multiply
    16,429.68x = 24,642.09 × 6,039
  4. Step 4: Simplify right side
    16,429.68x = 148,813,581.51
  5. Step 5: Solve for x
    x = 148,813,581.51/16,429.68
  6. Step 6: Final answer
    x = 9,057.61

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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.