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Finding the Fourth Proportional to 23,293, 32,145 and 12,682

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Solution

The fourth proportional to 23,293, 32,145 and 12,682 is: 17,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293 : 32,145 = 12,682 : x
  2. Step 2: Convert to fraction form
    23,293/32,145 = 12,682/x
  3. Step 3: Cross multiply
    23,293x = 32,145 × 12,682
  4. Step 4: Simplify right side
    23,293x = 407,662,890
  5. Step 5: Solve for x
    x = 407,662,890/23,293
  6. Step 6: Final answer
    x = 17,501.52

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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.