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Finding the Fourth Proportional to 17,687.96, 24,409.90 and 10,135

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Solution

The fourth proportional to 17,687.96, 24,409.90 and 10,135 is: 13,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.96 : 24,409.90 = 10,135 : x
  2. Step 2: Convert to fraction form
    17,687.96/24,409.90 = 10,135/x
  3. Step 3: Cross multiply
    17,687.96x = 24,409.90 × 10,135
  4. Step 4: Simplify right side
    17,687.96x = 247,394,336.50
  5. Step 5: Solve for x
    x = 247,394,336.50/17,687.96
  6. Step 6: Final answer
    x = 13,986.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.