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Finding the Fourth Proportional to 16,216.86, 22,384.83 and 9,504.66

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Solution

The fourth proportional to 16,216.86, 22,384.83 and 9,504.66 is: 13,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.86 : 22,384.83 = 9,504.66 : x
  2. Step 2: Convert to fraction form
    16,216.86/22,384.83 = 9,504.66/x
  3. Step 3: Cross multiply
    16,216.86x = 22,384.83 × 9,504.66
  4. Step 4: Simplify right side
    16,216.86x = 212,760,198.31
  5. Step 5: Solve for x
    x = 212,760,198.31/16,216.86
  6. Step 6: Final answer
    x = 13,119.69

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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.