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Finding the Fourth Proportional to 13,139.08, 19,694.04 and 6,199

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Solution

The fourth proportional to 13,139.08, 19,694.04 and 6,199 is: 9,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.08 : 19,694.04 = 6,199 : x
  2. Step 2: Convert to fraction form
    13,139.08/19,694.04 = 6,199/x
  3. Step 3: Cross multiply
    13,139.08x = 19,694.04 × 6,199
  4. Step 4: Simplify right side
    13,139.08x = 122,083,353.96
  5. Step 5: Solve for x
    x = 122,083,353.96/13,139.08
  6. Step 6: Final answer
    x = 9,291.62

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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.