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Finding the Fourth Proportional to 20,261.78, 30,406.24 and 7,114.20

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Solution

The fourth proportional to 20,261.78, 30,406.24 and 7,114.20 is: 10,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.78 : 30,406.24 = 7,114.20 : x
  2. Step 2: Convert to fraction form
    20,261.78/30,406.24 = 7,114.20/x
  3. Step 3: Cross multiply
    20,261.78x = 30,406.24 × 7,114.20
  4. Step 4: Simplify right side
    20,261.78x = 216,316,072.61
  5. Step 5: Solve for x
    x = 216,316,072.61/20,261.78
  6. Step 6: Final answer
    x = 10,676.06

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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.