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Finding the Fourth Proportional to 20,298.20, 30,442.94 and 7,813.87

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Solution

The fourth proportional to 20,298.20, 30,442.94 and 7,813.87 is: 11,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.20 : 30,442.94 = 7,813.87 : x
  2. Step 2: Convert to fraction form
    20,298.20/30,442.94 = 7,813.87/x
  3. Step 3: Cross multiply
    20,298.20x = 30,442.94 × 7,813.87
  4. Step 4: Simplify right side
    20,298.20x = 237,877,089.70
  5. Step 5: Solve for x
    x = 237,877,089.70/20,298.20
  6. Step 6: Final answer
    x = 11,719.13

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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.