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Finding the Fourth Proportional to 24,874.96, 37,318.02 and 13,196.38

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Solution

The fourth proportional to 24,874.96, 37,318.02 and 13,196.38 is: 19,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.96 : 37,318.02 = 13,196.38 : x
  2. Step 2: Convert to fraction form
    24,874.96/37,318.02 = 13,196.38/x
  3. Step 3: Cross multiply
    24,874.96x = 37,318.02 × 13,196.38
  4. Step 4: Simplify right side
    24,874.96x = 492,462,772.77
  5. Step 5: Solve for x
    x = 492,462,772.77/24,874.96
  6. Step 6: Final answer
    x = 19,797.53

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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.