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Finding the Fourth Proportional to 34,657.40, 51,986.10 and 12,474.20

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Solution

The fourth proportional to 34,657.40, 51,986.10 and 12,474.20 is: 18,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.40 : 51,986.10 = 12,474.20 : x
  2. Step 2: Convert to fraction form
    34,657.40/51,986.10 = 12,474.20/x
  3. Step 3: Cross multiply
    34,657.40x = 51,986.10 × 12,474.20
  4. Step 4: Simplify right side
    34,657.40x = 648,485,008.62
  5. Step 5: Solve for x
    x = 648,485,008.62/34,657.40
  6. Step 6: Final answer
    x = 18,711.30

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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.