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Finding the Fourth Proportional to 19,600.32, 27,034.14 and 12,432.42

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Solution

The fourth proportional to 19,600.32, 27,034.14 and 12,432.42 is: 17,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.32 : 27,034.14 = 12,432.42 : x
  2. Step 2: Convert to fraction form
    19,600.32/27,034.14 = 12,432.42/x
  3. Step 3: Cross multiply
    19,600.32x = 27,034.14 × 12,432.42
  4. Step 4: Simplify right side
    19,600.32x = 336,099,782.82
  5. Step 5: Solve for x
    x = 336,099,782.82/19,600.32
  6. Step 6: Final answer
    x = 17,147.67

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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.