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Finding the Fourth Proportional to 13,096.98, 19,649.13 and 4,338.06

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Solution

The fourth proportional to 13,096.98, 19,649.13 and 4,338.06 is: 6,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.98 : 19,649.13 = 4,338.06 : x
  2. Step 2: Convert to fraction form
    13,096.98/19,649.13 = 4,338.06/x
  3. Step 3: Cross multiply
    13,096.98x = 19,649.13 × 4,338.06
  4. Step 4: Simplify right side
    13,096.98x = 85,239,104.89
  5. Step 5: Solve for x
    x = 85,239,104.89/13,096.98
  6. Step 6: Final answer
    x = 6,508.30

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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.