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Finding the Fourth Proportional to 21,694.93, 29,930.16 and 14,138.50

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Solution

The fourth proportional to 21,694.93, 29,930.16 and 14,138.50 is: 19,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.93 : 29,930.16 = 14,138.50 : x
  2. Step 2: Convert to fraction form
    21,694.93/29,930.16 = 14,138.50/x
  3. Step 3: Cross multiply
    21,694.93x = 29,930.16 × 14,138.50
  4. Step 4: Simplify right side
    21,694.93x = 423,167,567.16
  5. Step 5: Solve for x
    x = 423,167,567.16/21,694.93
  6. Step 6: Final answer
    x = 19,505.37

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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.