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Finding the Fourth Proportional to 19,883.93, 29,826.14 and 5,092.46

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Solution

The fourth proportional to 19,883.93, 29,826.14 and 5,092.46 is: 7,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.93 : 29,826.14 = 5,092.46 : x
  2. Step 2: Convert to fraction form
    19,883.93/29,826.14 = 5,092.46/x
  3. Step 3: Cross multiply
    19,883.93x = 29,826.14 × 5,092.46
  4. Step 4: Simplify right side
    19,883.93x = 151,888,250.31
  5. Step 5: Solve for x
    x = 151,888,250.31/19,883.93
  6. Step 6: Final answer
    x = 7,638.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.