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Finding the Fourth Proportional to 20,543.40, 30,815.10 and 19,420.20

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Solution

The fourth proportional to 20,543.40, 30,815.10 and 19,420.20 is: 29,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.40 : 30,815.10 = 19,420.20 : x
  2. Step 2: Convert to fraction form
    20,543.40/30,815.10 = 19,420.20/x
  3. Step 3: Cross multiply
    20,543.40x = 30,815.10 × 19,420.20
  4. Step 4: Simplify right side
    20,543.40x = 598,435,405.02
  5. Step 5: Solve for x
    x = 598,435,405.02/20,543.40
  6. Step 6: Final answer
    x = 29,130.30

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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.