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Finding the Fourth Proportional to 17,635.17, 24,336.83 and 9,678.13

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Solution

The fourth proportional to 17,635.17, 24,336.83 and 9,678.13 is: 13,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.17 : 24,336.83 = 9,678.13 : x
  2. Step 2: Convert to fraction form
    17,635.17/24,336.83 = 9,678.13/x
  3. Step 3: Cross multiply
    17,635.17x = 24,336.83 × 9,678.13
  4. Step 4: Simplify right side
    17,635.17x = 235,535,077.56
  5. Step 5: Solve for x
    x = 235,535,077.56/17,635.17
  6. Step 6: Final answer
    x = 13,355.99

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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.