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Finding the Fourth Proportional to 20,133.10, 30,199.65 and 12,697.30

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Solution

The fourth proportional to 20,133.10, 30,199.65 and 12,697.30 is: 19,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.10 : 30,199.65 = 12,697.30 : x
  2. Step 2: Convert to fraction form
    20,133.10/30,199.65 = 12,697.30/x
  3. Step 3: Cross multiply
    20,133.10x = 30,199.65 × 12,697.30
  4. Step 4: Simplify right side
    20,133.10x = 383,454,015.95
  5. Step 5: Solve for x
    x = 383,454,015.95/20,133.10
  6. Step 6: Final answer
    x = 19,045.95

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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.