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Finding the Fourth Proportional to 23,738, 32,761.32 and 13,802

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Solution

The fourth proportional to 23,738, 32,761.32 and 13,802 is: 19,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738 : 32,761.32 = 13,802 : x
  2. Step 2: Convert to fraction form
    23,738/32,761.32 = 13,802/x
  3. Step 3: Cross multiply
    23,738x = 32,761.32 × 13,802
  4. Step 4: Simplify right side
    23,738x = 452,171,738.64
  5. Step 5: Solve for x
    x = 452,171,738.64/23,738
  6. Step 6: Final answer
    x = 19,048.43

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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.