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Finding the Fourth Proportional to 13,121.56, 19,678.92 and 6,542.92

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Solution

The fourth proportional to 13,121.56, 19,678.92 and 6,542.92 is: 9,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.56 : 19,678.92 = 6,542.92 : x
  2. Step 2: Convert to fraction form
    13,121.56/19,678.92 = 6,542.92/x
  3. Step 3: Cross multiply
    13,121.56x = 19,678.92 × 6,542.92
  4. Step 4: Simplify right side
    13,121.56x = 128,757,599.25
  5. Step 5: Solve for x
    x = 128,757,599.25/13,121.56
  6. Step 6: Final answer
    x = 9,812.67

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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.