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Finding the Fourth Proportional to 19,661.75, 27,133.07 and 10,709.22

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Solution

The fourth proportional to 19,661.75, 27,133.07 and 10,709.22 is: 14,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.75 : 27,133.07 = 10,709.22 : x
  2. Step 2: Convert to fraction form
    19,661.75/27,133.07 = 10,709.22/x
  3. Step 3: Cross multiply
    19,661.75x = 27,133.07 × 10,709.22
  4. Step 4: Simplify right side
    19,661.75x = 290,574,015.91
  5. Step 5: Solve for x
    x = 290,574,015.91/19,661.75
  6. Step 6: Final answer
    x = 14,778.64

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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.