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Finding the Fourth Proportional to 12,801.36, 19,194.12 and 5,001

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Solution

The fourth proportional to 12,801.36, 19,194.12 and 5,001 is: 7,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.36 : 19,194.12 = 5,001 : x
  2. Step 2: Convert to fraction form
    12,801.36/19,194.12 = 5,001/x
  3. Step 3: Cross multiply
    12,801.36x = 19,194.12 × 5,001
  4. Step 4: Simplify right side
    12,801.36x = 95,989,794.12
  5. Step 5: Solve for x
    x = 95,989,794.12/12,801.36
  6. Step 6: Final answer
    x = 7,498.41

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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.