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Finding the Fourth Proportional to 12,581.78, 17,362.90 and 6,917.02

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Solution

The fourth proportional to 12,581.78, 17,362.90 and 6,917.02 is: 9,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.78 : 17,362.90 = 6,917.02 : x
  2. Step 2: Convert to fraction form
    12,581.78/17,362.90 = 6,917.02/x
  3. Step 3: Cross multiply
    12,581.78x = 17,362.90 × 6,917.02
  4. Step 4: Simplify right side
    12,581.78x = 120,099,526.56
  5. Step 5: Solve for x
    x = 120,099,526.56/12,581.78
  6. Step 6: Final answer
    x = 9,545.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.