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Finding the Fourth Proportional to 20,017.04, 30,018.36 and 6,866

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Solution

The fourth proportional to 20,017.04, 30,018.36 and 6,866 is: 10,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.04 : 30,018.36 = 6,866 : x
  2. Step 2: Convert to fraction form
    20,017.04/30,018.36 = 6,866/x
  3. Step 3: Cross multiply
    20,017.04x = 30,018.36 × 6,866
  4. Step 4: Simplify right side
    20,017.04x = 206,106,059.76
  5. Step 5: Solve for x
    x = 206,106,059.76/20,017.04
  6. Step 6: Final answer
    x = 10,296.53

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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.