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Finding the Fourth Proportional to 16,243.16, 24,366 and 5,150.48

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Solution

The fourth proportional to 16,243.16, 24,366 and 5,150.48 is: 7,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.16 : 24,366 = 5,150.48 : x
  2. Step 2: Convert to fraction form
    16,243.16/24,366 = 5,150.48/x
  3. Step 3: Cross multiply
    16,243.16x = 24,366 × 5,150.48
  4. Step 4: Simplify right side
    16,243.16x = 125,496,595.68
  5. Step 5: Solve for x
    x = 125,496,595.68/16,243.16
  6. Step 6: Final answer
    x = 7,726.12

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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.