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Finding the Fourth Proportional to 16,135.50, 24,202.16 and 4,448.82

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Solution

The fourth proportional to 16,135.50, 24,202.16 and 4,448.82 is: 6,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.50 : 24,202.16 = 4,448.82 : x
  2. Step 2: Convert to fraction form
    16,135.50/24,202.16 = 4,448.82/x
  3. Step 3: Cross multiply
    16,135.50x = 24,202.16 × 4,448.82
  4. Step 4: Simplify right side
    16,135.50x = 107,671,053.45
  5. Step 5: Solve for x
    x = 107,671,053.45/16,135.50
  6. Step 6: Final answer
    x = 6,672.93

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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.