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Finding the Fourth Proportional to 12,596.16, 18,898.38 and 6,021.48

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Solution

The fourth proportional to 12,596.16, 18,898.38 and 6,021.48 is: 9,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.16 : 18,898.38 = 6,021.48 : x
  2. Step 2: Convert to fraction form
    12,596.16/18,898.38 = 6,021.48/x
  3. Step 3: Cross multiply
    12,596.16x = 18,898.38 × 6,021.48
  4. Step 4: Simplify right side
    12,596.16x = 113,796,217.20
  5. Step 5: Solve for x
    x = 113,796,217.20/12,596.16
  6. Step 6: Final answer
    x = 9,034.20

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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.