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Finding the Fourth Proportional to 19,804.17, 27,327.63 and 11,305.50

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Solution

The fourth proportional to 19,804.17, 27,327.63 and 11,305.50 is: 15,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.17 : 27,327.63 = 11,305.50 : x
  2. Step 2: Convert to fraction form
    19,804.17/27,327.63 = 11,305.50/x
  3. Step 3: Cross multiply
    19,804.17x = 27,327.63 × 11,305.50
  4. Step 4: Simplify right side
    19,804.17x = 308,952,520.97
  5. Step 5: Solve for x
    x = 308,952,520.97/19,804.17
  6. Step 6: Final answer
    x = 15,600.38

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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.