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Finding the Fourth Proportional to 20,281.20, 30,407.40 and 7,796.40

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Solution

The fourth proportional to 20,281.20, 30,407.40 and 7,796.40 is: 11,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.20 : 30,407.40 = 7,796.40 : x
  2. Step 2: Convert to fraction form
    20,281.20/30,407.40 = 7,796.40/x
  3. Step 3: Cross multiply
    20,281.20x = 30,407.40 × 7,796.40
  4. Step 4: Simplify right side
    20,281.20x = 237,068,253.36
  5. Step 5: Solve for x
    x = 237,068,253.36/20,281.20
  6. Step 6: Final answer
    x = 11,689.06

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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.