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Finding the Fourth Proportional to 17,685.38, 24,409.29 and 10,136.77

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Solution

The fourth proportional to 17,685.38, 24,409.29 and 10,136.77 is: 13,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.38 : 24,409.29 = 10,136.77 : x
  2. Step 2: Convert to fraction form
    17,685.38/24,409.29 = 10,136.77/x
  3. Step 3: Cross multiply
    17,685.38x = 24,409.29 × 10,136.77
  4. Step 4: Simplify right side
    17,685.38x = 247,431,216.37
  5. Step 5: Solve for x
    x = 247,431,216.37/17,685.38
  6. Step 6: Final answer
    x = 13,990.72

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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.