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Finding the Fourth Proportional to 16,253.54, 24,381.15 and 5,161.09

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Solution

The fourth proportional to 16,253.54, 24,381.15 and 5,161.09 is: 7,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.54 : 24,381.15 = 5,161.09 : x
  2. Step 2: Convert to fraction form
    16,253.54/24,381.15 = 5,161.09/x
  3. Step 3: Cross multiply
    16,253.54x = 24,381.15 × 5,161.09
  4. Step 4: Simplify right side
    16,253.54x = 125,833,357.50
  5. Step 5: Solve for x
    x = 125,833,357.50/16,253.54
  6. Step 6: Final answer
    x = 7,741.91

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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.