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Finding the Fourth Proportional to 19,683.77, 27,164.24 and 11,185.74

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Solution

The fourth proportional to 19,683.77, 27,164.24 and 11,185.74 is: 15,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.77 : 27,164.24 = 11,185.74 : x
  2. Step 2: Convert to fraction form
    19,683.77/27,164.24 = 11,185.74/x
  3. Step 3: Cross multiply
    19,683.77x = 27,164.24 × 11,185.74
  4. Step 4: Simplify right side
    19,683.77x = 303,852,070.01
  5. Step 5: Solve for x
    x = 303,852,070.01/19,683.77
  6. Step 6: Final answer
    x = 15,436.68

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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.