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Finding the Fourth Proportional to 16,298.14, 24,413.18 and 10,424.92

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Solution

The fourth proportional to 16,298.14, 24,413.18 and 10,424.92 is: 15,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.14 : 24,413.18 = 10,424.92 : x
  2. Step 2: Convert to fraction form
    16,298.14/24,413.18 = 10,424.92/x
  3. Step 3: Cross multiply
    16,298.14x = 24,413.18 × 10,424.92
  4. Step 4: Simplify right side
    16,298.14x = 254,505,448.45
  5. Step 5: Solve for x
    x = 254,505,448.45/16,298.14
  6. Step 6: Final answer
    x = 15,615.61

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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.