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Finding the Fourth Proportional to 20,315.41, 30,475.71 and 7,839

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Solution

The fourth proportional to 20,315.41, 30,475.71 and 7,839 is: 11,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.41 : 30,475.71 = 7,839 : x
  2. Step 2: Convert to fraction form
    20,315.41/30,475.71 = 7,839/x
  3. Step 3: Cross multiply
    20,315.41x = 30,475.71 × 7,839
  4. Step 4: Simplify right side
    20,315.41x = 238,899,090.69
  5. Step 5: Solve for x
    x = 238,899,090.69/20,315.41
  6. Step 6: Final answer
    x = 11,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.