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Finding the Fourth Proportional to 14,777.54, 22,147.16 and 6,002.26

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Solution

The fourth proportional to 14,777.54, 22,147.16 and 6,002.26 is: 8,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.54 : 22,147.16 = 6,002.26 : x
  2. Step 2: Convert to fraction form
    14,777.54/22,147.16 = 6,002.26/x
  3. Step 3: Cross multiply
    14,777.54x = 22,147.16 × 6,002.26
  4. Step 4: Simplify right side
    14,777.54x = 132,933,012.58
  5. Step 5: Solve for x
    x = 132,933,012.58/14,777.54
  6. Step 6: Final answer
    x = 8,995.61

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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.