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Finding the Fourth Proportional to 16,163.78, 24,245.68 and 4,477

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Solution

The fourth proportional to 16,163.78, 24,245.68 and 4,477 is: 6,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.78 : 24,245.68 = 4,477 : x
  2. Step 2: Convert to fraction form
    16,163.78/24,245.68 = 4,477/x
  3. Step 3: Cross multiply
    16,163.78x = 24,245.68 × 4,477
  4. Step 4: Simplify right side
    16,163.78x = 108,547,909.36
  5. Step 5: Solve for x
    x = 108,547,909.36/16,163.78
  6. Step 6: Final answer
    x = 6,715.50

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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.