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Finding the Fourth Proportional to 23,390.92, 32,279.94 and 12,781.24

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Solution

The fourth proportional to 23,390.92, 32,279.94 and 12,781.24 is: 17,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,390.92 : 32,279.94 = 12,781.24 : x
  2. Step 2: Convert to fraction form
    23,390.92/32,279.94 = 12,781.24/x
  3. Step 3: Cross multiply
    23,390.92x = 32,279.94 × 12,781.24
  4. Step 4: Simplify right side
    23,390.92x = 412,577,579.63
  5. Step 5: Solve for x
    x = 412,577,579.63/23,390.92
  6. Step 6: Final answer
    x = 17,638.37

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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.