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Finding the Fourth Proportional to 14,198.31, 19,592.96 and 7,909.47

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Solution

The fourth proportional to 14,198.31, 19,592.96 and 7,909.47 is: 10,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.31 : 19,592.96 = 7,909.47 : x
  2. Step 2: Convert to fraction form
    14,198.31/19,592.96 = 7,909.47/x
  3. Step 3: Cross multiply
    14,198.31x = 19,592.96 × 7,909.47
  4. Step 4: Simplify right side
    14,198.31x = 154,969,889.78
  5. Step 5: Solve for x
    x = 154,969,889.78/14,198.31
  6. Step 6: Final answer
    x = 10,914.67

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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.