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Finding the Fourth Proportional to 12,754.46, 19,128.72 and 5,358.08

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Solution

The fourth proportional to 12,754.46, 19,128.72 and 5,358.08 is: 8,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.46 : 19,128.72 = 5,358.08 : x
  2. Step 2: Convert to fraction form
    12,754.46/19,128.72 = 5,358.08/x
  3. Step 3: Cross multiply
    12,754.46x = 19,128.72 × 5,358.08
  4. Step 4: Simplify right side
    12,754.46x = 102,493,212.06
  5. Step 5: Solve for x
    x = 102,493,212.06/12,754.46
  6. Step 6: Final answer
    x = 8,035.87

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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.