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Finding the Fourth Proportional to 15,427.68, 23,122.97 and 7,096.21

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Solution

The fourth proportional to 15,427.68, 23,122.97 and 7,096.21 is: 10,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427.68 : 23,122.97 = 7,096.21 : x
  2. Step 2: Convert to fraction form
    15,427.68/23,122.97 = 7,096.21/x
  3. Step 3: Cross multiply
    15,427.68x = 23,122.97 × 7,096.21
  4. Step 4: Simplify right side
    15,427.68x = 164,085,415.46
  5. Step 5: Solve for x
    x = 164,085,415.46/15,427.68
  6. Step 6: Final answer
    x = 10,635.78

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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.