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Finding the Fourth Proportional to 24,667.20, 36,990 and 7,136.64

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Solution

The fourth proportional to 24,667.20, 36,990 and 7,136.64 is: 10,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.20 : 36,990 = 7,136.64 : x
  2. Step 2: Convert to fraction form
    24,667.20/36,990 = 7,136.64/x
  3. Step 3: Cross multiply
    24,667.20x = 36,990 × 7,136.64
  4. Step 4: Simplify right side
    24,667.20x = 263,984,313.60
  5. Step 5: Solve for x
    x = 263,984,313.60/24,667.20
  6. Step 6: Final answer
    x = 10,701.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.