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Finding the Fourth Proportional to 12,596.58, 18,898.97 and 6,023.25

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Solution

The fourth proportional to 12,596.58, 18,898.97 and 6,023.25 is: 9,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.58 : 18,898.97 = 6,023.25 : x
  2. Step 2: Convert to fraction form
    12,596.58/18,898.97 = 6,023.25/x
  3. Step 3: Cross multiply
    12,596.58x = 18,898.97 × 6,023.25
  4. Step 4: Simplify right side
    12,596.58x = 113,833,190.94
  5. Step 5: Solve for x
    x = 113,833,190.94/12,596.58
  6. Step 6: Final answer
    x = 9,036.83

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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.