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Finding the Fourth Proportional to 20,474.10, 30,711.15 and 12,698.10

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Solution

The fourth proportional to 20,474.10, 30,711.15 and 12,698.10 is: 19,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.10 : 30,711.15 = 12,698.10 : x
  2. Step 2: Convert to fraction form
    20,474.10/30,711.15 = 12,698.10/x
  3. Step 3: Cross multiply
    20,474.10x = 30,711.15 × 12,698.10
  4. Step 4: Simplify right side
    20,474.10x = 389,973,253.82
  5. Step 5: Solve for x
    x = 389,973,253.82/20,474.10
  6. Step 6: Final answer
    x = 19,047.15

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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.