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Finding the Fourth Proportional to 20,474.29, 30,698.27 and 8,635.74

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Solution

The fourth proportional to 20,474.29, 30,698.27 and 8,635.74 is: 12,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.29 : 30,698.27 = 8,635.74 : x
  2. Step 2: Convert to fraction form
    20,474.29/30,698.27 = 8,635.74/x
  3. Step 3: Cross multiply
    20,474.29x = 30,698.27 × 8,635.74
  4. Step 4: Simplify right side
    20,474.29x = 265,102,278.17
  5. Step 5: Solve for x
    x = 265,102,278.17/20,474.29
  6. Step 6: Final answer
    x = 12,948.06

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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.