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Finding the Fourth Proportional to 16,076.41, 22,178.06 and 10,413.05

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Solution

The fourth proportional to 16,076.41, 22,178.06 and 10,413.05 is: 14,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.41 : 22,178.06 = 10,413.05 : x
  2. Step 2: Convert to fraction form
    16,076.41/22,178.06 = 10,413.05/x
  3. Step 3: Cross multiply
    16,076.41x = 22,178.06 × 10,413.05
  4. Step 4: Simplify right side
    16,076.41x = 230,941,165.36
  5. Step 5: Solve for x
    x = 230,941,165.36/16,076.41
  6. Step 6: Final answer
    x = 14,365.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.