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Finding the Fourth Proportional to 12,799.68, 19,201.94 and 5,008

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Solution

The fourth proportional to 12,799.68, 19,201.94 and 5,008 is: 7,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.68 : 19,201.94 = 5,008 : x
  2. Step 2: Convert to fraction form
    12,799.68/19,201.94 = 5,008/x
  3. Step 3: Cross multiply
    12,799.68x = 19,201.94 × 5,008
  4. Step 4: Simplify right side
    12,799.68x = 96,163,315.52
  5. Step 5: Solve for x
    x = 96,163,315.52/12,799.68
  6. Step 6: Final answer
    x = 7,512.95

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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.