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Finding the Fourth Proportional to 24,072.74, 33,230.50 and 14,644.58

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Solution

The fourth proportional to 24,072.74, 33,230.50 and 14,644.58 is: 20,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.74 : 33,230.50 = 14,644.58 : x
  2. Step 2: Convert to fraction form
    24,072.74/33,230.50 = 14,644.58/x
  3. Step 3: Cross multiply
    24,072.74x = 33,230.50 × 14,644.58
  4. Step 4: Simplify right side
    24,072.74x = 486,646,715.69
  5. Step 5: Solve for x
    x = 486,646,715.69/24,072.74
  6. Step 6: Final answer
    x = 20,215.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.