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Finding the Fourth Proportional to 18,683.28, 25,781.76 and 10,299.76

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Solution

The fourth proportional to 18,683.28, 25,781.76 and 10,299.76 is: 14,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683.28 : 25,781.76 = 10,299.76 : x
  2. Step 2: Convert to fraction form
    18,683.28/25,781.76 = 10,299.76/x
  3. Step 3: Cross multiply
    18,683.28x = 25,781.76 × 10,299.76
  4. Step 4: Simplify right side
    18,683.28x = 265,545,940.38
  5. Step 5: Solve for x
    x = 265,545,940.38/18,683.28
  6. Step 6: Final answer
    x = 14,213.03

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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.