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Finding the Fourth Proportional to 21,097.54, 31,638.55 and 6,301.42

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Solution

The fourth proportional to 21,097.54, 31,638.55 and 6,301.42 is: 9,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.54 : 31,638.55 = 6,301.42 : x
  2. Step 2: Convert to fraction form
    21,097.54/31,638.55 = 6,301.42/x
  3. Step 3: Cross multiply
    21,097.54x = 31,638.55 × 6,301.42
  4. Step 4: Simplify right side
    21,097.54x = 199,367,791.74
  5. Step 5: Solve for x
    x = 199,367,791.74/21,097.54
  6. Step 6: Final answer
    x = 9,449.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.