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Finding the Fourth Proportional to 12,523.20, 18,777.20 and 8,623.28

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Solution

The fourth proportional to 12,523.20, 18,777.20 and 8,623.28 is: 12,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.20 : 18,777.20 = 8,623.28 : x
  2. Step 2: Convert to fraction form
    12,523.20/18,777.20 = 8,623.28/x
  3. Step 3: Cross multiply
    12,523.20x = 18,777.20 × 8,623.28
  4. Step 4: Simplify right side
    12,523.20x = 161,921,053.22
  5. Step 5: Solve for x
    x = 161,921,053.22/12,523.20
  6. Step 6: Final answer
    x = 12,929.69

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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.