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Finding the Fourth Proportional to 16,042.62, 24,057.93 and 5,509.65

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Solution

The fourth proportional to 16,042.62, 24,057.93 and 5,509.65 is: 8,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.62 : 24,057.93 = 5,509.65 : x
  2. Step 2: Convert to fraction form
    16,042.62/24,057.93 = 5,509.65/x
  3. Step 3: Cross multiply
    16,042.62x = 24,057.93 × 5,509.65
  4. Step 4: Simplify right side
    16,042.62x = 132,550,774.02
  5. Step 5: Solve for x
    x = 132,550,774.02/16,042.62
  6. Step 6: Final answer
    x = 8,262.41

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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.