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Finding the Fourth Proportional to 19,683.84, 27,166.32 and 12,625.14

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Solution

The fourth proportional to 19,683.84, 27,166.32 and 12,625.14 is: 17,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.84 : 27,166.32 = 12,625.14 : x
  2. Step 2: Convert to fraction form
    19,683.84/27,166.32 = 12,625.14/x
  3. Step 3: Cross multiply
    19,683.84x = 27,166.32 × 12,625.14
  4. Step 4: Simplify right side
    19,683.84x = 342,978,593.28
  5. Step 5: Solve for x
    x = 342,978,593.28/19,683.84
  6. Step 6: Final answer
    x = 17,424.37

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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.