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Finding the Fourth Proportional to 20,199.45, 30,299.14 and 5,408

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Solution

The fourth proportional to 20,199.45, 30,299.14 and 5,408 is: 8,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.45 : 30,299.14 = 5,408 : x
  2. Step 2: Convert to fraction form
    20,199.45/30,299.14 = 5,408/x
  3. Step 3: Cross multiply
    20,199.45x = 30,299.14 × 5,408
  4. Step 4: Simplify right side
    20,199.45x = 163,857,749.12
  5. Step 5: Solve for x
    x = 163,857,749.12/20,199.45
  6. Step 6: Final answer
    x = 8,111.99

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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.