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Finding the Fourth Proportional to 19,822.32, 27,388.80 and 19,112.76

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Solution

The fourth proportional to 19,822.32, 27,388.80 and 19,112.76 is: 26,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.32 : 27,388.80 = 19,112.76 : x
  2. Step 2: Convert to fraction form
    19,822.32/27,388.80 = 19,112.76/x
  3. Step 3: Cross multiply
    19,822.32x = 27,388.80 × 19,112.76
  4. Step 4: Simplify right side
    19,822.32x = 523,475,561.09
  5. Step 5: Solve for x
    x = 523,475,561.09/19,822.32
  6. Step 6: Final answer
    x = 26,408.39

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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.