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Finding the Fourth Proportional to 16,465.36, 24,667.08 and 8,135.68

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Solution

The fourth proportional to 16,465.36, 24,667.08 and 8,135.68 is: 12,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.36 : 24,667.08 = 8,135.68 : x
  2. Step 2: Convert to fraction form
    16,465.36/24,667.08 = 8,135.68/x
  3. Step 3: Cross multiply
    16,465.36x = 24,667.08 × 8,135.68
  4. Step 4: Simplify right side
    16,465.36x = 200,683,469.41
  5. Step 5: Solve for x
    x = 200,683,469.41/16,465.36
  6. Step 6: Final answer
    x = 12,188.22

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1.5x scale

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.