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Finding the Fourth Proportional to 20,252.58, 30,377.79 and 6,400.50

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Solution

The fourth proportional to 20,252.58, 30,377.79 and 6,400.50 is: 9,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.58 : 30,377.79 = 6,400.50 : x
  2. Step 2: Convert to fraction form
    20,252.58/30,377.79 = 6,400.50/x
  3. Step 3: Cross multiply
    20,252.58x = 30,377.79 × 6,400.50
  4. Step 4: Simplify right side
    20,252.58x = 194,433,044.90
  5. Step 5: Solve for x
    x = 194,433,044.90/20,252.58
  6. Step 6: Final answer
    x = 9,600.41

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