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Finding the Fourth Proportional to 12,634.40, 18,953.80 and 5,234.80

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Solution

The fourth proportional to 12,634.40, 18,953.80 and 5,234.80 is: 7,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.40 : 18,953.80 = 5,234.80 : x
  2. Step 2: Convert to fraction form
    12,634.40/18,953.80 = 5,234.80/x
  3. Step 3: Cross multiply
    12,634.40x = 18,953.80 × 5,234.80
  4. Step 4: Simplify right side
    12,634.40x = 99,219,352.24
  5. Step 5: Solve for x
    x = 99,219,352.24/12,634.40
  6. Step 6: Final answer
    x = 7,853.11

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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.