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Finding the Fourth Proportional to 17,884.92, 24,679.24 and 11,597.32

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Solution

The fourth proportional to 17,884.92, 24,679.24 and 11,597.32 is: 16,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.92 : 24,679.24 = 11,597.32 : x
  2. Step 2: Convert to fraction form
    17,884.92/24,679.24 = 11,597.32/x
  3. Step 3: Cross multiply
    17,884.92x = 24,679.24 × 11,597.32
  4. Step 4: Simplify right side
    17,884.92x = 286,213,043.64
  5. Step 5: Solve for x
    x = 286,213,043.64/17,884.92
  6. Step 6: Final answer
    x = 16,003.04

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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.