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Finding the Fourth Proportional to 20,570.82, 30,856.23 and 7,423.17

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Solution

The fourth proportional to 20,570.82, 30,856.23 and 7,423.17 is: 11,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.82 : 30,856.23 = 7,423.17 : x
  2. Step 2: Convert to fraction form
    20,570.82/30,856.23 = 7,423.17/x
  3. Step 3: Cross multiply
    20,570.82x = 30,856.23 × 7,423.17
  4. Step 4: Simplify right side
    20,570.82x = 229,051,040.85
  5. Step 5: Solve for x
    x = 229,051,040.85/20,570.82
  6. Step 6: Final answer
    x = 11,134.76

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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.