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Finding the Fourth Proportional to 21,163.83, 31,742.49 and 5,582.67

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Solution

The fourth proportional to 21,163.83, 31,742.49 and 5,582.67 is: 8,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.83 : 31,742.49 = 5,582.67 : x
  2. Step 2: Convert to fraction form
    21,163.83/31,742.49 = 5,582.67/x
  3. Step 3: Cross multiply
    21,163.83x = 31,742.49 × 5,582.67
  4. Step 4: Simplify right side
    21,163.83x = 177,207,846.65
  5. Step 5: Solve for x
    x = 177,207,846.65/21,163.83
  6. Step 6: Final answer
    x = 8,373.15

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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.