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Finding the Fourth Proportional to 14,193.28, 19,586.88 and 7,906

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Solution

The fourth proportional to 14,193.28, 19,586.88 and 7,906 is: 10,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.28 : 19,586.88 = 7,906 : x
  2. Step 2: Convert to fraction form
    14,193.28/19,586.88 = 7,906/x
  3. Step 3: Cross multiply
    14,193.28x = 19,586.88 × 7,906
  4. Step 4: Simplify right side
    14,193.28x = 154,853,873.28
  5. Step 5: Solve for x
    x = 154,853,873.28/14,193.28
  6. Step 6: Final answer
    x = 10,910.37

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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.