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Finding the Fourth Proportional to 16,535.61, 24,770.61 and 7,743.87

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Solution

The fourth proportional to 16,535.61, 24,770.61 and 7,743.87 is: 11,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.61 : 24,770.61 = 7,743.87 : x
  2. Step 2: Convert to fraction form
    16,535.61/24,770.61 = 7,743.87/x
  3. Step 3: Cross multiply
    16,535.61x = 24,770.61 × 7,743.87
  4. Step 4: Simplify right side
    16,535.61x = 191,820,383.66
  5. Step 5: Solve for x
    x = 191,820,383.66/16,535.61
  6. Step 6: Final answer
    x = 11,600.44

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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.