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Finding the Fourth Proportional to 16,221.53, 24,288.33 and 8,413.94

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Solution

The fourth proportional to 16,221.53, 24,288.33 and 8,413.94 is: 12,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.53 : 24,288.33 = 8,413.94 : x
  2. Step 2: Convert to fraction form
    16,221.53/24,288.33 = 8,413.94/x
  3. Step 3: Cross multiply
    16,221.53x = 24,288.33 × 8,413.94
  4. Step 4: Simplify right side
    16,221.53x = 204,360,519.77
  5. Step 5: Solve for x
    x = 204,360,519.77/16,221.53
  6. Step 6: Final answer
    x = 12,598.10

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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.