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Finding the Fourth Proportional to 20,574.10, 30,857.85 and 7,419.70

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Solution

The fourth proportional to 20,574.10, 30,857.85 and 7,419.70 is: 11,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.10 : 30,857.85 = 7,419.70 : x
  2. Step 2: Convert to fraction form
    20,574.10/30,857.85 = 7,419.70/x
  3. Step 3: Cross multiply
    20,574.10x = 30,857.85 × 7,419.70
  4. Step 4: Simplify right side
    20,574.10x = 228,955,989.65
  5. Step 5: Solve for x
    x = 228,955,989.65/20,574.10
  6. Step 6: Final answer
    x = 11,128.36

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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.