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Finding the Fourth Proportional to 16,507.18, 24,760.68 and 5,413.78

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Solution

The fourth proportional to 16,507.18, 24,760.68 and 5,413.78 is: 8,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.18 : 24,760.68 = 5,413.78 : x
  2. Step 2: Convert to fraction form
    16,507.18/24,760.68 = 5,413.78/x
  3. Step 3: Cross multiply
    16,507.18x = 24,760.68 × 5,413.78
  4. Step 4: Simplify right side
    16,507.18x = 134,048,874.17
  5. Step 5: Solve for x
    x = 134,048,874.17/16,507.18
  6. Step 6: Final answer
    x = 8,120.64

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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.