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Finding the Fourth Proportional to 13,775.92, 19,012.39 and 8,186.92

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Solution

The fourth proportional to 13,775.92, 19,012.39 and 8,186.92 is: 11,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.92 : 19,012.39 = 8,186.92 : x
  2. Step 2: Convert to fraction form
    13,775.92/19,012.39 = 8,186.92/x
  3. Step 3: Cross multiply
    13,775.92x = 19,012.39 × 8,186.92
  4. Step 4: Simplify right side
    13,775.92x = 155,652,847.94
  5. Step 5: Solve for x
    x = 155,652,847.94/13,775.92
  6. Step 6: Final answer
    x = 11,298.91

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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.