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Finding the Fourth Proportional to 19,826.78, 29,740.22 and 6,688.37

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Solution

The fourth proportional to 19,826.78, 29,740.22 and 6,688.37 is: 10,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.78 : 29,740.22 = 6,688.37 : x
  2. Step 2: Convert to fraction form
    19,826.78/29,740.22 = 6,688.37/x
  3. Step 3: Cross multiply
    19,826.78x = 29,740.22 × 6,688.37
  4. Step 4: Simplify right side
    19,826.78x = 198,913,413.10
  5. Step 5: Solve for x
    x = 198,913,413.10/19,826.78
  6. Step 6: Final answer
    x = 10,032.57

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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.