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Finding the Fourth Proportional to 17,635.14, 24,336.90 and 9,677.34

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Solution

The fourth proportional to 17,635.14, 24,336.90 and 9,677.34 is: 13,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.14 : 24,336.90 = 9,677.34 : x
  2. Step 2: Convert to fraction form
    17,635.14/24,336.90 = 9,677.34/x
  3. Step 3: Cross multiply
    17,635.14x = 24,336.90 × 9,677.34
  4. Step 4: Simplify right side
    17,635.14x = 235,516,455.85
  5. Step 5: Solve for x
    x = 235,516,455.85/17,635.14
  6. Step 6: Final answer
    x = 13,354.95

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