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Finding the Fourth Proportional to 19,338.06, 29,012.64 and 8,098.68

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Solution

The fourth proportional to 19,338.06, 29,012.64 and 8,098.68 is: 12,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,338.06 : 29,012.64 = 8,098.68 : x
  2. Step 2: Convert to fraction form
    19,338.06/29,012.64 = 8,098.68/x
  3. Step 3: Cross multiply
    19,338.06x = 29,012.64 × 8,098.68
  4. Step 4: Simplify right side
    19,338.06x = 234,964,087.32
  5. Step 5: Solve for x
    x = 234,964,087.32/19,338.06
  6. Step 6: Final answer
    x = 12,150.34

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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.