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Finding the Fourth Proportional to 13,196.98, 19,767.92 and 7,915.24

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Solution

The fourth proportional to 13,196.98, 19,767.92 and 7,915.24 is: 11,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.98 : 19,767.92 = 7,915.24 : x
  2. Step 2: Convert to fraction form
    13,196.98/19,767.92 = 7,915.24/x
  3. Step 3: Cross multiply
    13,196.98x = 19,767.92 × 7,915.24
  4. Step 4: Simplify right side
    13,196.98x = 156,467,801.47
  5. Step 5: Solve for x
    x = 156,467,801.47/13,196.98
  6. Step 6: Final answer
    x = 11,856.34

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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.