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Finding the Fourth Proportional to 12,396.84, 18,596.12 and 5,001.38

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Solution

The fourth proportional to 12,396.84, 18,596.12 and 5,001.38 is: 7,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.84 : 18,596.12 = 5,001.38 : x
  2. Step 2: Convert to fraction form
    12,396.84/18,596.12 = 5,001.38/x
  3. Step 3: Cross multiply
    12,396.84x = 18,596.12 × 5,001.38
  4. Step 4: Simplify right side
    12,396.84x = 93,006,262.65
  5. Step 5: Solve for x
    x = 93,006,262.65/12,396.84
  6. Step 6: Final answer
    x = 7,502.42

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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.