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Finding the Fourth Proportional to 20,261.71, 30,406.84 and 7,115.10

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Solution

The fourth proportional to 20,261.71, 30,406.84 and 7,115.10 is: 10,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.71 : 30,406.84 = 7,115.10 : x
  2. Step 2: Convert to fraction form
    20,261.71/30,406.84 = 7,115.10/x
  3. Step 3: Cross multiply
    20,261.71x = 30,406.84 × 7,115.10
  4. Step 4: Simplify right side
    20,261.71x = 216,347,671.71
  5. Step 5: Solve for x
    x = 216,347,671.71/20,261.71
  6. Step 6: Final answer
    x = 10,677.66

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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.