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Finding the Fourth Proportional to 20,146.20, 30,243.60 and 20,000.40

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Solution

The fourth proportional to 20,146.20, 30,243.60 and 20,000.40 is: 30,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.20 : 30,243.60 = 20,000.40 : x
  2. Step 2: Convert to fraction form
    20,146.20/30,243.60 = 20,000.40/x
  3. Step 3: Cross multiply
    20,146.20x = 30,243.60 × 20,000.40
  4. Step 4: Simplify right side
    20,146.20x = 604,884,097.44
  5. Step 5: Solve for x
    x = 604,884,097.44/20,146.20
  6. Step 6: Final answer
    x = 30,024.72

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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.