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Finding the Fourth Proportional to 17,636.21, 24,338.36 and 9,678.94

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Solution

The fourth proportional to 17,636.21, 24,338.36 and 9,678.94 is: 13,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.21 : 24,338.36 = 9,678.94 : x
  2. Step 2: Convert to fraction form
    17,636.21/24,338.36 = 9,678.94/x
  3. Step 3: Cross multiply
    17,636.21x = 24,338.36 × 9,678.94
  4. Step 4: Simplify right side
    17,636.21x = 235,569,489.49
  5. Step 5: Solve for x
    x = 235,569,489.49/17,636.21
  6. Step 6: Final answer
    x = 13,357.15

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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.