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Finding the Fourth Proportional to 21,537.44, 29,694 and 13,970.48

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Solution

The fourth proportional to 21,537.44, 29,694 and 13,970.48 is: 19,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.44 : 29,694 = 13,970.48 : x
  2. Step 2: Convert to fraction form
    21,537.44/29,694 = 13,970.48/x
  3. Step 3: Cross multiply
    21,537.44x = 29,694 × 13,970.48
  4. Step 4: Simplify right side
    21,537.44x = 414,839,433.12
  5. Step 5: Solve for x
    x = 414,839,433.12/21,537.44
  6. Step 6: Final answer
    x = 19,261.32

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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.