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Finding the Fourth Proportional to 17,997.19, 24,838.85 and 10,922.24

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Solution

The fourth proportional to 17,997.19, 24,838.85 and 10,922.24 is: 15,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997.19 : 24,838.85 = 10,922.24 : x
  2. Step 2: Convert to fraction form
    17,997.19/24,838.85 = 10,922.24/x
  3. Step 3: Cross multiply
    17,997.19x = 24,838.85 × 10,922.24
  4. Step 4: Simplify right side
    17,997.19x = 271,295,970.43
  5. Step 5: Solve for x
    x = 271,295,970.43/17,997.19
  6. Step 6: Final answer
    x = 15,074.35

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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.