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Finding the Fourth Proportional to 17,093.64, 23,588.88 and 9,641.64

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Solution

The fourth proportional to 17,093.64, 23,588.88 and 9,641.64 is: 13,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093.64 : 23,588.88 = 9,641.64 : x
  2. Step 2: Convert to fraction form
    17,093.64/23,588.88 = 9,641.64/x
  3. Step 3: Cross multiply
    17,093.64x = 23,588.88 × 9,641.64
  4. Step 4: Simplify right side
    17,093.64x = 227,435,488.96
  5. Step 5: Solve for x
    x = 227,435,488.96/17,093.64
  6. Step 6: Final answer
    x = 13,305.27

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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.