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Finding the Fourth Proportional to 15,341, 22,996.92 and 12,045.92

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Solution

The fourth proportional to 15,341, 22,996.92 and 12,045.92 is: 18,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,341 : 22,996.92 = 12,045.92 : x
  2. Step 2: Convert to fraction form
    15,341/22,996.92 = 12,045.92/x
  3. Step 3: Cross multiply
    15,341x = 22,996.92 × 12,045.92
  4. Step 4: Simplify right side
    15,341x = 277,019,058.57
  5. Step 5: Solve for x
    x = 277,019,058.57/15,341
  6. Step 6: Final answer
    x = 18,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.