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Finding the Fourth Proportional to 20,890.64, 31,335.68 and 8,413.84

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Solution

The fourth proportional to 20,890.64, 31,335.68 and 8,413.84 is: 12,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,890.64 : 31,335.68 = 8,413.84 : x
  2. Step 2: Convert to fraction form
    20,890.64/31,335.68 = 8,413.84/x
  3. Step 3: Cross multiply
    20,890.64x = 31,335.68 × 8,413.84
  4. Step 4: Simplify right side
    20,890.64x = 263,653,397.81
  5. Step 5: Solve for x
    x = 263,653,397.81/20,890.64
  6. Step 6: Final answer
    x = 12,620.65

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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.