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Finding the Fourth Proportional to 17,744.05, 24,485.97 and 10,185.06

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Solution

The fourth proportional to 17,744.05, 24,485.97 and 10,185.06 is: 14,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.05 : 24,485.97 = 10,185.06 : x
  2. Step 2: Convert to fraction form
    17,744.05/24,485.97 = 10,185.06/x
  3. Step 3: Cross multiply
    17,744.05x = 24,485.97 × 10,185.06
  4. Step 4: Simplify right side
    17,744.05x = 249,391,073.61
  5. Step 5: Solve for x
    x = 249,391,073.61/17,744.05
  6. Step 6: Final answer
    x = 14,054.91

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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.