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Finding the Fourth Proportional to 22,123.32, 33,188.10 and 8,271

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Solution

The fourth proportional to 22,123.32, 33,188.10 and 8,271 is: 12,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.32 : 33,188.10 = 8,271 : x
  2. Step 2: Convert to fraction form
    22,123.32/33,188.10 = 8,271/x
  3. Step 3: Cross multiply
    22,123.32x = 33,188.10 × 8,271
  4. Step 4: Simplify right side
    22,123.32x = 274,498,775.10
  5. Step 5: Solve for x
    x = 274,498,775.10/22,123.32
  6. Step 6: Final answer
    x = 12,407.67

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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.