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Finding the Fourth Proportional to 16,093.16, 22,200.42 and 11,894.12

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Solution

The fourth proportional to 16,093.16, 22,200.42 and 11,894.12 is: 16,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.16 : 22,200.42 = 11,894.12 : x
  2. Step 2: Convert to fraction form
    16,093.16/22,200.42 = 11,894.12/x
  3. Step 3: Cross multiply
    16,093.16x = 22,200.42 × 11,894.12
  4. Step 4: Simplify right side
    16,093.16x = 264,054,459.53
  5. Step 5: Solve for x
    x = 264,054,459.53/16,093.16
  6. Step 6: Final answer
    x = 16,407.87

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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.