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Finding the Fourth Proportional to 22,128, 30,538.56 and 12,193.92

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Solution

The fourth proportional to 22,128, 30,538.56 and 12,193.92 is: 16,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128 : 30,538.56 = 12,193.92 : x
  2. Step 2: Convert to fraction form
    22,128/30,538.56 = 12,193.92/x
  3. Step 3: Cross multiply
    22,128x = 30,538.56 × 12,193.92
  4. Step 4: Simplify right side
    22,128x = 372,384,757.56
  5. Step 5: Solve for x
    x = 372,384,757.56/22,128
  6. Step 6: Final answer
    x = 16,828.67

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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.