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Finding the Fourth Proportional to 15,884.84, 21,920.92 and 8,811.24

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Solution

The fourth proportional to 15,884.84, 21,920.92 and 8,811.24 is: 12,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.84 : 21,920.92 = 8,811.24 : x
  2. Step 2: Convert to fraction form
    15,884.84/21,920.92 = 8,811.24/x
  3. Step 3: Cross multiply
    15,884.84x = 21,920.92 × 8,811.24
  4. Step 4: Simplify right side
    15,884.84x = 193,150,487.14
  5. Step 5: Solve for x
    x = 193,150,487.14/15,884.84
  6. Step 6: Final answer
    x = 12,159.42

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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.