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Finding the Fourth Proportional to 23,783.82, 35,676.08 and 11,305.13

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Solution

The fourth proportional to 23,783.82, 35,676.08 and 11,305.13 is: 16,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.82 : 35,676.08 = 11,305.13 : x
  2. Step 2: Convert to fraction form
    23,783.82/35,676.08 = 11,305.13/x
  3. Step 3: Cross multiply
    23,783.82x = 35,676.08 × 11,305.13
  4. Step 4: Simplify right side
    23,783.82x = 403,322,722.29
  5. Step 5: Solve for x
    x = 403,322,722.29/23,783.82
  6. Step 6: Final answer
    x = 16,957.86

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.