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Finding the Fourth Proportional to 20,473.72, 30,710.57 and 5,682.63

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Solution

The fourth proportional to 20,473.72, 30,710.57 and 5,682.63 is: 8,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.72 : 30,710.57 = 5,682.63 : x
  2. Step 2: Convert to fraction form
    20,473.72/30,710.57 = 5,682.63/x
  3. Step 3: Cross multiply
    20,473.72x = 30,710.57 × 5,682.63
  4. Step 4: Simplify right side
    20,473.72x = 174,516,806.40
  5. Step 5: Solve for x
    x = 174,516,806.40/20,473.72
  6. Step 6: Final answer
    x = 8,523.94

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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.