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Finding the Fourth Proportional to 17,494.20, 24,137.69 and 10,686.49

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Solution

The fourth proportional to 17,494.20, 24,137.69 and 10,686.49 is: 14,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.20 : 24,137.69 = 10,686.49 : x
  2. Step 2: Convert to fraction form
    17,494.20/24,137.69 = 10,686.49/x
  3. Step 3: Cross multiply
    17,494.20x = 24,137.69 × 10,686.49
  4. Step 4: Simplify right side
    17,494.20x = 257,947,182.81
  5. Step 5: Solve for x
    x = 257,947,182.81/17,494.20
  6. Step 6: Final answer
    x = 14,744.73

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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.