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Finding the Fourth Proportional to 16,035.84, 22,129.32 and 8,962.08

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Solution

The fourth proportional to 16,035.84, 22,129.32 and 8,962.08 is: 12,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035.84 : 22,129.32 = 8,962.08 : x
  2. Step 2: Convert to fraction form
    16,035.84/22,129.32 = 8,962.08/x
  3. Step 3: Cross multiply
    16,035.84x = 22,129.32 × 8,962.08
  4. Step 4: Simplify right side
    16,035.84x = 198,324,736.19
  5. Step 5: Solve for x
    x = 198,324,736.19/16,035.84
  6. Step 6: Final answer
    x = 12,367.59

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1.5x scale

Why These Related Problems?

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