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Finding the Fourth Proportional to 17,907.49, 24,713.10 and 9,949.75

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Solution

The fourth proportional to 17,907.49, 24,713.10 and 9,949.75 is: 13,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.49 : 24,713.10 = 9,949.75 : x
  2. Step 2: Convert to fraction form
    17,907.49/24,713.10 = 9,949.75/x
  3. Step 3: Cross multiply
    17,907.49x = 24,713.10 × 9,949.75
  4. Step 4: Simplify right side
    17,907.49x = 245,889,104.94
  5. Step 5: Solve for x
    x = 245,889,104.94/17,907.49
  6. Step 6: Final answer
    x = 13,731.07

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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.