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Finding the Fourth Proportional to 21,129.09, 31,691.74 and 6,341.31

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Solution

The fourth proportional to 21,129.09, 31,691.74 and 6,341.31 is: 9,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.09 : 31,691.74 = 6,341.31 : x
  2. Step 2: Convert to fraction form
    21,129.09/31,691.74 = 6,341.31/x
  3. Step 3: Cross multiply
    21,129.09x = 31,691.74 × 6,341.31
  4. Step 4: Simplify right side
    21,129.09x = 200,967,147.78
  5. Step 5: Solve for x
    x = 200,967,147.78/21,129.09
  6. Step 6: Final answer
    x = 9,511.40

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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.