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Finding the Fourth Proportional to 23,409.44, 32,305.04 and 12,799.16

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Solution

The fourth proportional to 23,409.44, 32,305.04 and 12,799.16 is: 17,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.44 : 32,305.04 = 12,799.16 : x
  2. Step 2: Convert to fraction form
    23,409.44/32,305.04 = 12,799.16/x
  3. Step 3: Cross multiply
    23,409.44x = 32,305.04 × 12,799.16
  4. Step 4: Simplify right side
    23,409.44x = 413,477,375.77
  5. Step 5: Solve for x
    x = 413,477,375.77/23,409.44
  6. Step 6: Final answer
    x = 17,662.85

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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.