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Finding the Fourth Proportional to 20,570.89, 30,856.30 and 7,423.24

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Solution

The fourth proportional to 20,570.89, 30,856.30 and 7,423.24 is: 11,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.89 : 30,856.30 = 7,423.24 : x
  2. Step 2: Convert to fraction form
    20,570.89/30,856.30 = 7,423.24/x
  3. Step 3: Cross multiply
    20,570.89x = 30,856.30 × 7,423.24
  4. Step 4: Simplify right side
    20,570.89x = 229,053,720.41
  5. Step 5: Solve for x
    x = 229,053,720.41/20,570.89
  6. Step 6: Final answer
    x = 11,134.85

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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.