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Finding the Fourth Proportional to 20,572.83, 30,856.81 and 5,782.99

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Solution

The fourth proportional to 20,572.83, 30,856.81 and 5,782.99 is: 8,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.83 : 30,856.81 = 5,782.99 : x
  2. Step 2: Convert to fraction form
    20,572.83/30,856.81 = 5,782.99/x
  3. Step 3: Cross multiply
    20,572.83x = 30,856.81 × 5,782.99
  4. Step 4: Simplify right side
    20,572.83x = 178,444,623.66
  5. Step 5: Solve for x
    x = 178,444,623.66/20,572.83
  6. Step 6: Final answer
    x = 8,673.80

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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.