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Finding the Fourth Proportional to 18,704.50, 25,812.21 and 10,321

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Solution

The fourth proportional to 18,704.50, 25,812.21 and 10,321 is: 14,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704.50 : 25,812.21 = 10,321 : x
  2. Step 2: Convert to fraction form
    18,704.50/25,812.21 = 10,321/x
  3. Step 3: Cross multiply
    18,704.50x = 25,812.21 × 10,321
  4. Step 4: Simplify right side
    18,704.50x = 266,407,819.41
  5. Step 5: Solve for x
    x = 266,407,819.41/18,704.50
  6. Step 6: Final answer
    x = 14,242.98

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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.