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Finding the Fourth Proportional to 16,462.80, 24,687 and 4,775.76

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Solution

The fourth proportional to 16,462.80, 24,687 and 4,775.76 is: 7,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.80 : 24,687 = 4,775.76 : x
  2. Step 2: Convert to fraction form
    16,462.80/24,687 = 4,775.76/x
  3. Step 3: Cross multiply
    16,462.80x = 24,687 × 4,775.76
  4. Step 4: Simplify right side
    16,462.80x = 117,899,187.12
  5. Step 5: Solve for x
    x = 117,899,187.12/16,462.80
  6. Step 6: Final answer
    x = 7,161.55

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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.