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Finding the Fourth Proportional to 17,585.50, 24,270.88 and 10,137.82

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Solution

The fourth proportional to 17,585.50, 24,270.88 and 10,137.82 is: 13,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.50 : 24,270.88 = 10,137.82 : x
  2. Step 2: Convert to fraction form
    17,585.50/24,270.88 = 10,137.82/x
  3. Step 3: Cross multiply
    17,585.50x = 24,270.88 × 10,137.82
  4. Step 4: Simplify right side
    17,585.50x = 246,053,812.68
  5. Step 5: Solve for x
    x = 246,053,812.68/17,585.50
  6. Step 6: Final answer
    x = 13,991.86

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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.