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Finding the Fourth Proportional to 13,078.17, 19,610.82 and 6,508.04

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Solution

The fourth proportional to 13,078.17, 19,610.82 and 6,508.04 is: 9,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.17 : 19,610.82 = 6,508.04 : x
  2. Step 2: Convert to fraction form
    13,078.17/19,610.82 = 6,508.04/x
  3. Step 3: Cross multiply
    13,078.17x = 19,610.82 × 6,508.04
  4. Step 4: Simplify right side
    13,078.17x = 127,627,902.94
  5. Step 5: Solve for x
    x = 127,627,902.94/13,078.17
  6. Step 6: Final answer
    x = 9,758.85

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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.