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Finding the Fourth Proportional to 19,859.97, 29,746.22 and 13,255.23

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Solution

The fourth proportional to 19,859.97, 29,746.22 and 13,255.23 is: 19,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.97 : 29,746.22 = 13,255.23 : x
  2. Step 2: Convert to fraction form
    19,859.97/29,746.22 = 13,255.23/x
  3. Step 3: Cross multiply
    19,859.97x = 29,746.22 × 13,255.23
  4. Step 4: Simplify right side
    19,859.97x = 394,292,921.45
  5. Step 5: Solve for x
    x = 394,292,921.45/19,859.97
  6. Step 6: Final answer
    x = 19,853.65

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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.