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Finding the Fourth Proportional to 21,632.24, 32,441.88 and 7,778

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Solution

The fourth proportional to 21,632.24, 32,441.88 and 7,778 is: 11,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.24 : 32,441.88 = 7,778 : x
  2. Step 2: Convert to fraction form
    21,632.24/32,441.88 = 7,778/x
  3. Step 3: Cross multiply
    21,632.24x = 32,441.88 × 7,778
  4. Step 4: Simplify right side
    21,632.24x = 252,332,942.64
  5. Step 5: Solve for x
    x = 252,332,942.64/21,632.24
  6. Step 6: Final answer
    x = 11,664.67

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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.