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Finding the Fourth Proportional to 20,248.58, 30,371.78 and 6,396.50

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Solution

The fourth proportional to 20,248.58, 30,371.78 and 6,396.50 is: 9,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,248.58 : 30,371.78 = 6,396.50 : x
  2. Step 2: Convert to fraction form
    20,248.58/30,371.78 = 6,396.50/x
  3. Step 3: Cross multiply
    20,248.58x = 30,371.78 × 6,396.50
  4. Step 4: Simplify right side
    20,248.58x = 194,273,090.77
  5. Step 5: Solve for x
    x = 194,273,090.77/20,248.58
  6. Step 6: Final answer
    x = 9,594.41

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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.