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Finding the Fourth Proportional to 19,766.32, 27,278.03 and 10,814.20

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Solution

The fourth proportional to 19,766.32, 27,278.03 and 10,814.20 is: 14,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.32 : 27,278.03 = 10,814.20 : x
  2. Step 2: Convert to fraction form
    19,766.32/27,278.03 = 10,814.20/x
  3. Step 3: Cross multiply
    19,766.32x = 27,278.03 × 10,814.20
  4. Step 4: Simplify right side
    19,766.32x = 294,990,072.03
  5. Step 5: Solve for x
    x = 294,990,072.03/19,766.32
  6. Step 6: Final answer
    x = 14,923.87

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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.