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Finding the Fourth Proportional to 13,641.01, 18,821.77 and 7,974.66

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Solution

The fourth proportional to 13,641.01, 18,821.77 and 7,974.66 is: 11,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.01 : 18,821.77 = 7,974.66 : x
  2. Step 2: Convert to fraction form
    13,641.01/18,821.77 = 7,974.66/x
  3. Step 3: Cross multiply
    13,641.01x = 18,821.77 × 7,974.66
  4. Step 4: Simplify right side
    13,641.01x = 150,097,196.41
  5. Step 5: Solve for x
    x = 150,097,196.41/13,641.01
  6. Step 6: Final answer
    x = 11,003.38

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Why These Related Problems?

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