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Finding the Fourth Proportional to 20,477.70, 30,711.15 and 6,437.70

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Solution

The fourth proportional to 20,477.70, 30,711.15 and 6,437.70 is: 9,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.70 : 30,711.15 = 6,437.70 : x
  2. Step 2: Convert to fraction form
    20,477.70/30,711.15 = 6,437.70/x
  3. Step 3: Cross multiply
    20,477.70x = 30,711.15 × 6,437.70
  4. Step 4: Simplify right side
    20,477.70x = 197,709,170.36
  5. Step 5: Solve for x
    x = 197,709,170.36/20,477.70
  6. Step 6: Final answer
    x = 9,654.85

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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.