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Finding the Fourth Proportional to 20,261, 30,389.96 and 7,114.26

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Solution

The fourth proportional to 20,261, 30,389.96 and 7,114.26 is: 10,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261 : 30,389.96 = 7,114.26 : x
  2. Step 2: Convert to fraction form
    20,261/30,389.96 = 7,114.26/x
  3. Step 3: Cross multiply
    20,261x = 30,389.96 × 7,114.26
  4. Step 4: Simplify right side
    20,261x = 216,202,076.83
  5. Step 5: Solve for x
    x = 216,202,076.83/20,261
  6. Step 6: Final answer
    x = 10,670.85

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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.