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Finding the Fourth Proportional to 16,580.09, 22,880.81 and 9,026.64

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Solution

The fourth proportional to 16,580.09, 22,880.81 and 9,026.64 is: 12,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.09 : 22,880.81 = 9,026.64 : x
  2. Step 2: Convert to fraction form
    16,580.09/22,880.81 = 9,026.64/x
  3. Step 3: Cross multiply
    16,580.09x = 22,880.81 × 9,026.64
  4. Step 4: Simplify right side
    16,580.09x = 206,536,720.37
  5. Step 5: Solve for x
    x = 206,536,720.37/16,580.09
  6. Step 6: Final answer
    x = 12,456.92

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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.