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Finding the Fourth Proportional to 16,533.81, 22,816.89 and 8,980.16

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Solution

The fourth proportional to 16,533.81, 22,816.89 and 8,980.16 is: 12,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.81 : 22,816.89 = 8,980.16 : x
  2. Step 2: Convert to fraction form
    16,533.81/22,816.89 = 8,980.16/x
  3. Step 3: Cross multiply
    16,533.81x = 22,816.89 × 8,980.16
  4. Step 4: Simplify right side
    16,533.81x = 204,899,208.82
  5. Step 5: Solve for x
    x = 204,899,208.82/16,533.81
  6. Step 6: Final answer
    x = 12,392.74

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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.