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Finding the Fourth Proportional to 19,766.62, 27,277.78 and 10,814.20

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Solution

The fourth proportional to 19,766.62, 27,277.78 and 10,814.20 is: 14,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.62 : 27,277.78 = 10,814.20 : x
  2. Step 2: Convert to fraction form
    19,766.62/27,277.78 = 10,814.20/x
  3. Step 3: Cross multiply
    19,766.62x = 27,277.78 × 10,814.20
  4. Step 4: Simplify right side
    19,766.62x = 294,987,368.48
  5. Step 5: Solve for x
    x = 294,987,368.48/19,766.62
  6. Step 6: Final answer
    x = 14,923.51

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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.