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Finding the Fourth Proportional to 19,505, 26,917.22 and 13,925.48

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Solution

The fourth proportional to 19,505, 26,917.22 and 13,925.48 is: 19,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505 : 26,917.22 = 13,925.48 : x
  2. Step 2: Convert to fraction form
    19,505/26,917.22 = 13,925.48/x
  3. Step 3: Cross multiply
    19,505x = 26,917.22 × 13,925.48
  4. Step 4: Simplify right side
    19,505x = 374,835,208.77
  5. Step 5: Solve for x
    x = 374,835,208.77/19,505
  6. Step 6: Final answer
    x = 19,217.39

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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.