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Finding the Fourth Proportional to 21,653.80, 29,896.14 and 17,684.44

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Solution

The fourth proportional to 21,653.80, 29,896.14 and 17,684.44 is: 24,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.80 : 29,896.14 = 17,684.44 : x
  2. Step 2: Convert to fraction form
    21,653.80/29,896.14 = 17,684.44/x
  3. Step 3: Cross multiply
    21,653.80x = 29,896.14 × 17,684.44
  4. Step 4: Simplify right side
    21,653.80x = 528,696,494.06
  5. Step 5: Solve for x
    x = 528,696,494.06/21,653.80
  6. Step 6: Final answer
    x = 24,415.88

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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.