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Finding the Fourth Proportional to 16,224.75, 22,392.59 and 9,940.77

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Solution

The fourth proportional to 16,224.75, 22,392.59 and 9,940.77 is: 13,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.75 : 22,392.59 = 9,940.77 : x
  2. Step 2: Convert to fraction form
    16,224.75/22,392.59 = 9,940.77/x
  3. Step 3: Cross multiply
    16,224.75x = 22,392.59 × 9,940.77
  4. Step 4: Simplify right side
    16,224.75x = 222,599,537.19
  5. Step 5: Solve for x
    x = 222,599,537.19/16,224.75
  6. Step 6: Final answer
    x = 13,719.75

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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.