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Finding the Fourth Proportional to 14,096.17, 19,451.14 and 7,806.97

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Solution

The fourth proportional to 14,096.17, 19,451.14 and 7,806.97 is: 10,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.17 : 19,451.14 = 7,806.97 : x
  2. Step 2: Convert to fraction form
    14,096.17/19,451.14 = 7,806.97/x
  3. Step 3: Cross multiply
    14,096.17x = 19,451.14 × 7,806.97
  4. Step 4: Simplify right side
    14,096.17x = 151,854,466.45
  5. Step 5: Solve for x
    x = 151,854,466.45/14,096.17
  6. Step 6: Final answer
    x = 10,772.75

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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.