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Finding the Fourth Proportional to 17,636.31, 24,338.97 and 9,678.45

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Solution

The fourth proportional to 17,636.31, 24,338.97 and 9,678.45 is: 13,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.31 : 24,338.97 = 9,678.45 : x
  2. Step 2: Convert to fraction form
    17,636.31/24,338.97 = 9,678.45/x
  3. Step 3: Cross multiply
    17,636.31x = 24,338.97 × 9,678.45
  4. Step 4: Simplify right side
    17,636.31x = 235,563,504.20
  5. Step 5: Solve for x
    x = 235,563,504.20/17,636.31
  6. Step 6: Final answer
    x = 13,356.73

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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.