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Finding the Fourth Proportional to 20,246.58, 30,368.79 and 6,394.50

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Solution

The fourth proportional to 20,246.58, 30,368.79 and 6,394.50 is: 9,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,246.58 : 30,368.79 = 6,394.50 : x
  2. Step 2: Convert to fraction form
    20,246.58/30,368.79 = 6,394.50/x
  3. Step 3: Cross multiply
    20,246.58x = 30,368.79 × 6,394.50
  4. Step 4: Simplify right side
    20,246.58x = 194,193,227.66
  5. Step 5: Solve for x
    x = 194,193,227.66/20,246.58
  6. Step 6: Final answer
    x = 9,591.41

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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.