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Finding the Fourth Proportional to 20,133.10, 30,199.65 and 14,228.20

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Solution

The fourth proportional to 20,133.10, 30,199.65 and 14,228.20 is: 21,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.10 : 30,199.65 = 14,228.20 : x
  2. Step 2: Convert to fraction form
    20,133.10/30,199.65 = 14,228.20/x
  3. Step 3: Cross multiply
    20,133.10x = 30,199.65 × 14,228.20
  4. Step 4: Simplify right side
    20,133.10x = 429,686,660.13
  5. Step 5: Solve for x
    x = 429,686,660.13/20,133.10
  6. Step 6: Final answer
    x = 21,342.30

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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.