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Finding the Fourth Proportional to 15,942.76, 22,000.62 and 9,227.46

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Solution

The fourth proportional to 15,942.76, 22,000.62 and 9,227.46 is: 12,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.76 : 22,000.62 = 9,227.46 : x
  2. Step 2: Convert to fraction form
    15,942.76/22,000.62 = 9,227.46/x
  3. Step 3: Cross multiply
    15,942.76x = 22,000.62 × 9,227.46
  4. Step 4: Simplify right side
    15,942.76x = 203,009,841.03
  5. Step 5: Solve for x
    x = 203,009,841.03/15,942.76
  6. Step 6: Final answer
    x = 12,733.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.