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Finding the Fourth Proportional to 16,039, 24,063.36 and 5,653.18

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Solution

The fourth proportional to 16,039, 24,063.36 and 5,653.18 is: 8,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039 : 24,063.36 = 5,653.18 : x
  2. Step 2: Convert to fraction form
    16,039/24,063.36 = 5,653.18/x
  3. Step 3: Cross multiply
    16,039x = 24,063.36 × 5,653.18
  4. Step 4: Simplify right side
    16,039x = 136,034,505.48
  5. Step 5: Solve for x
    x = 136,034,505.48/16,039
  6. Step 6: Final answer
    x = 8,481.48

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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.