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Finding the Fourth Proportional to 19,825.74, 27,349.11 and 11,865.60

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Solution

The fourth proportional to 19,825.74, 27,349.11 and 11,865.60 is: 16,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.74 : 27,349.11 = 11,865.60 : x
  2. Step 2: Convert to fraction form
    19,825.74/27,349.11 = 11,865.60/x
  3. Step 3: Cross multiply
    19,825.74x = 27,349.11 × 11,865.60
  4. Step 4: Simplify right side
    19,825.74x = 324,513,599.62
  5. Step 5: Solve for x
    x = 324,513,599.62/19,825.74
  6. Step 6: Final answer
    x = 16,368.30

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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.