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Finding the Fourth Proportional to 12,596.18, 18,878.70 and 6,357.97

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Solution

The fourth proportional to 12,596.18, 18,878.70 and 6,357.97 is: 9,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.18 : 18,878.70 = 6,357.97 : x
  2. Step 2: Convert to fraction form
    12,596.18/18,878.70 = 6,357.97/x
  3. Step 3: Cross multiply
    12,596.18x = 18,878.70 × 6,357.97
  4. Step 4: Simplify right side
    12,596.18x = 120,030,148.94
  5. Step 5: Solve for x
    x = 120,030,148.94/12,596.18
  6. Step 6: Final answer
    x = 9,529.09

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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.