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Finding the Fourth Proportional to 13,181.84, 18,190.90 and 7,213.46

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Solution

The fourth proportional to 13,181.84, 18,190.90 and 7,213.46 is: 9,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.84 : 18,190.90 = 7,213.46 : x
  2. Step 2: Convert to fraction form
    13,181.84/18,190.90 = 7,213.46/x
  3. Step 3: Cross multiply
    13,181.84x = 18,190.90 × 7,213.46
  4. Step 4: Simplify right side
    13,181.84x = 131,219,267.86
  5. Step 5: Solve for x
    x = 131,219,267.86/13,181.84
  6. Step 6: Final answer
    x = 9,954.55

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