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Finding the Fourth Proportional to 23,767, 32,807.10 and 13,831

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Solution

The fourth proportional to 23,767, 32,807.10 and 13,831 is: 19,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767 : 32,807.10 = 13,831 : x
  2. Step 2: Convert to fraction form
    23,767/32,807.10 = 13,831/x
  3. Step 3: Cross multiply
    23,767x = 32,807.10 × 13,831
  4. Step 4: Simplify right side
    23,767x = 453,755,000.10
  5. Step 5: Solve for x
    x = 453,755,000.10/23,767
  6. Step 6: Final answer
    x = 19,091.81

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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.