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Finding the Fourth Proportional to 20,182.70, 30,277.80 and 6,143.99

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Solution

The fourth proportional to 20,182.70, 30,277.80 and 6,143.99 is: 9,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.70 : 30,277.80 = 6,143.99 : x
  2. Step 2: Convert to fraction form
    20,182.70/30,277.80 = 6,143.99/x
  3. Step 3: Cross multiply
    20,182.70x = 30,277.80 × 6,143.99
  4. Step 4: Simplify right side
    20,182.70x = 186,026,349.03
  5. Step 5: Solve for x
    x = 186,026,349.03/20,182.70
  6. Step 6: Final answer
    x = 9,217.12

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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.