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Finding the Fourth Proportional to 23,725, 32,743.38 and 13,789

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Solution

The fourth proportional to 23,725, 32,743.38 and 13,789 is: 19,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725 : 32,743.38 = 13,789 : x
  2. Step 2: Convert to fraction form
    23,725/32,743.38 = 13,789/x
  3. Step 3: Cross multiply
    23,725x = 32,743.38 × 13,789
  4. Step 4: Simplify right side
    23,725x = 451,498,466.82
  5. Step 5: Solve for x
    x = 451,498,466.82/23,725
  6. Step 6: Final answer
    x = 19,030.49

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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.