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Finding the Fourth Proportional to 16,023.84, 22,112.64 and 8,950.32

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Solution

The fourth proportional to 16,023.84, 22,112.64 and 8,950.32 is: 12,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.84 : 22,112.64 = 8,950.32 : x
  2. Step 2: Convert to fraction form
    16,023.84/22,112.64 = 8,950.32/x
  3. Step 3: Cross multiply
    16,023.84x = 22,112.64 × 8,950.32
  4. Step 4: Simplify right side
    16,023.84x = 197,915,204.04
  5. Step 5: Solve for x
    x = 197,915,204.04/16,023.84
  6. Step 6: Final answer
    x = 12,351.30

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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.