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Finding the Fourth Proportional to 13,882.20, 19,156.14 and 7,915.20

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Solution

The fourth proportional to 13,882.20, 19,156.14 and 7,915.20 is: 10,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.20 : 19,156.14 = 7,915.20 : x
  2. Step 2: Convert to fraction form
    13,882.20/19,156.14 = 7,915.20/x
  3. Step 3: Cross multiply
    13,882.20x = 19,156.14 × 7,915.20
  4. Step 4: Simplify right side
    13,882.20x = 151,624,679.33
  5. Step 5: Solve for x
    x = 151,624,679.33/13,882.20
  6. Step 6: Final answer
    x = 10,922.24

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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.