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Finding the Fourth Proportional to 20,264.25, 30,396.51 and 6,413.25

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Solution

The fourth proportional to 20,264.25, 30,396.51 and 6,413.25 is: 9,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.25 : 30,396.51 = 6,413.25 : x
  2. Step 2: Convert to fraction form
    20,264.25/30,396.51 = 6,413.25/x
  3. Step 3: Cross multiply
    20,264.25x = 30,396.51 × 6,413.25
  4. Step 4: Simplify right side
    20,264.25x = 194,940,417.76
  5. Step 5: Solve for x
    x = 194,940,417.76/20,264.25
  6. Step 6: Final answer
    x = 9,619.92

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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.