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Finding the Fourth Proportional to 21,097.29, 31,627.32 and 7,958.89

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Solution

The fourth proportional to 21,097.29, 31,627.32 and 7,958.89 is: 11,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.29 : 31,627.32 = 7,958.89 : x
  2. Step 2: Convert to fraction form
    21,097.29/31,627.32 = 7,958.89/x
  3. Step 3: Cross multiply
    21,097.29x = 31,627.32 × 7,958.89
  4. Step 4: Simplify right side
    21,097.29x = 251,718,321.08
  5. Step 5: Solve for x
    x = 251,718,321.08/21,097.29
  6. Step 6: Final answer
    x = 11,931.31

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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.