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Finding the Fourth Proportional to 19,766.70, 27,277.94 and 10,814.04

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Solution

The fourth proportional to 19,766.70, 27,277.94 and 10,814.04 is: 14,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.70 : 27,277.94 = 10,814.04 : x
  2. Step 2: Convert to fraction form
    19,766.70/27,277.94 = 10,814.04/x
  3. Step 3: Cross multiply
    19,766.70x = 27,277.94 × 10,814.04
  4. Step 4: Simplify right side
    19,766.70x = 294,984,734.28
  5. Step 5: Solve for x
    x = 294,984,734.28/19,766.70
  6. Step 6: Final answer
    x = 14,923.32

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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.