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Finding the Fourth Proportional to 17,635.49, 24,336.91 and 9,677.85

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Solution

The fourth proportional to 17,635.49, 24,336.91 and 9,677.85 is: 13,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.49 : 24,336.91 = 9,677.85 : x
  2. Step 2: Convert to fraction form
    17,635.49/24,336.91 = 9,677.85/x
  3. Step 3: Cross multiply
    17,635.49x = 24,336.91 × 9,677.85
  4. Step 4: Simplify right side
    17,635.49x = 235,528,916.05
  5. Step 5: Solve for x
    x = 235,528,916.05/17,635.49
  6. Step 6: Final answer
    x = 13,355.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.