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Finding the Fourth Proportional to 20,575.92, 30,857.52 and 7,426.59

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Solution

The fourth proportional to 20,575.92, 30,857.52 and 7,426.59 is: 11,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.92 : 30,857.52 = 7,426.59 : x
  2. Step 2: Convert to fraction form
    20,575.92/30,857.52 = 7,426.59/x
  3. Step 3: Cross multiply
    20,575.92x = 30,857.52 × 7,426.59
  4. Step 4: Simplify right side
    20,575.92x = 229,166,149.46
  5. Step 5: Solve for x
    x = 229,166,149.46/20,575.92
  6. Step 6: Final answer
    x = 11,137.59

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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.