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Finding the Fourth Proportional to 13,879, 20,822.10 and 4,994.02

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Solution

The fourth proportional to 13,879, 20,822.10 and 4,994.02 is: 7,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879 : 20,822.10 = 4,994.02 : x
  2. Step 2: Convert to fraction form
    13,879/20,822.10 = 4,994.02/x
  3. Step 3: Cross multiply
    13,879x = 20,822.10 × 4,994.02
  4. Step 4: Simplify right side
    13,879x = 103,985,983.84
  5. Step 5: Solve for x
    x = 103,985,983.84/13,879
  6. Step 6: Final answer
    x = 7,492.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.