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Finding the Fourth Proportional to 13,280.98, 19,915.11 and 7,735.90

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Solution

The fourth proportional to 13,280.98, 19,915.11 and 7,735.90 is: 11,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.98 : 19,915.11 = 7,735.90 : x
  2. Step 2: Convert to fraction form
    13,280.98/19,915.11 = 7,735.90/x
  3. Step 3: Cross multiply
    13,280.98x = 19,915.11 × 7,735.90
  4. Step 4: Simplify right side
    13,280.98x = 154,061,324.34
  5. Step 5: Solve for x
    x = 154,061,324.34/13,280.98
  6. Step 6: Final answer
    x = 11,600.15

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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.