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Finding the Fourth Proportional to 19,564.63, 29,340.79 and 6,413.92

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Solution

The fourth proportional to 19,564.63, 29,340.79 and 6,413.92 is: 9,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.63 : 29,340.79 = 6,413.92 : x
  2. Step 2: Convert to fraction form
    19,564.63/29,340.79 = 6,413.92/x
  3. Step 3: Cross multiply
    19,564.63x = 29,340.79 × 6,413.92
  4. Step 4: Simplify right side
    19,564.63x = 188,189,479.80
  5. Step 5: Solve for x
    x = 188,189,479.80/19,564.63
  6. Step 6: Final answer
    x = 9,618.86

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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.