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Finding the Fourth Proportional to 21,642.68, 29,868.39 and 12,084.44

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Solution

The fourth proportional to 21,642.68, 29,868.39 and 12,084.44 is: 16,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.68 : 29,868.39 = 12,084.44 : x
  2. Step 2: Convert to fraction form
    21,642.68/29,868.39 = 12,084.44/x
  3. Step 3: Cross multiply
    21,642.68x = 29,868.39 × 12,084.44
  4. Step 4: Simplify right side
    21,642.68x = 360,942,617.51
  5. Step 5: Solve for x
    x = 360,942,617.51/21,642.68
  6. Step 6: Final answer
    x = 16,677.36

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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.