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Finding the Fourth Proportional to 19,778.58, 27,305.71 and 13,083.59

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Solution

The fourth proportional to 19,778.58, 27,305.71 and 13,083.59 is: 18,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.58 : 27,305.71 = 13,083.59 : x
  2. Step 2: Convert to fraction form
    19,778.58/27,305.71 = 13,083.59/x
  3. Step 3: Cross multiply
    19,778.58x = 27,305.71 × 13,083.59
  4. Step 4: Simplify right side
    19,778.58x = 357,256,749.85
  5. Step 5: Solve for x
    x = 357,256,749.85/19,778.58
  6. Step 6: Final answer
    x = 18,062.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.