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Finding the Fourth Proportional to 24,073.62, 33,222.90 and 14,516.58

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Solution

The fourth proportional to 24,073.62, 33,222.90 and 14,516.58 is: 20,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.62 : 33,222.90 = 14,516.58 : x
  2. Step 2: Convert to fraction form
    24,073.62/33,222.90 = 14,516.58/x
  3. Step 3: Cross multiply
    24,073.62x = 33,222.90 × 14,516.58
  4. Step 4: Simplify right side
    24,073.62x = 482,282,885.68
  5. Step 5: Solve for x
    x = 482,282,885.68/24,073.62
  6. Step 6: Final answer
    x = 20,033.67

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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.