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Finding the Fourth Proportional to 28,234.26, 42,351.40 and 9,766.26

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Solution

The fourth proportional to 28,234.26, 42,351.40 and 9,766.26 is: 14,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.26 : 42,351.40 = 9,766.26 : x
  2. Step 2: Convert to fraction form
    28,234.26/42,351.40 = 9,766.26/x
  3. Step 3: Cross multiply
    28,234.26x = 42,351.40 × 9,766.26
  4. Step 4: Simplify right side
    28,234.26x = 413,614,783.76
  5. Step 5: Solve for x
    x = 413,614,783.76/28,234.26
  6. Step 6: Final answer
    x = 14,649.39

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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.