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Finding the Fourth Proportional to 18,738, 25,828.37 and 12,686.31

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Solution

The fourth proportional to 18,738, 25,828.37 and 12,686.31 is: 17,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 25,828.37 = 12,686.31 : x
  2. Step 2: Convert to fraction form
    18,738/25,828.37 = 12,686.31/x
  3. Step 3: Cross multiply
    18,738x = 25,828.37 × 12,686.31
  4. Step 4: Simplify right side
    18,738x = 327,666,645.18
  5. Step 5: Solve for x
    x = 327,666,645.18/18,738
  6. Step 6: Final answer
    x = 17,486.75

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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.