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Finding the Fourth Proportional to 20,866.91, 31,301.50 and 5,284.67

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Solution

The fourth proportional to 20,866.91, 31,301.50 and 5,284.67 is: 7,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.91 : 31,301.50 = 5,284.67 : x
  2. Step 2: Convert to fraction form
    20,866.91/31,301.50 = 5,284.67/x
  3. Step 3: Cross multiply
    20,866.91x = 31,301.50 × 5,284.67
  4. Step 4: Simplify right side
    20,866.91x = 165,418,098.01
  5. Step 5: Solve for x
    x = 165,418,098.01/20,866.91
  6. Step 6: Final answer
    x = 7,927.29

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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.