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Finding the Fourth Proportional to 21,425.91, 29,540.16 and 13,858.89

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Solution

The fourth proportional to 21,425.91, 29,540.16 and 13,858.89 is: 19,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.91 : 29,540.16 = 13,858.89 : x
  2. Step 2: Convert to fraction form
    21,425.91/29,540.16 = 13,858.89/x
  3. Step 3: Cross multiply
    21,425.91x = 29,540.16 × 13,858.89
  4. Step 4: Simplify right side
    21,425.91x = 409,393,828.02
  5. Step 5: Solve for x
    x = 409,393,828.02/21,425.91
  6. Step 6: Final answer
    x = 19,107.42

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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.