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Finding the Fourth Proportional to 21,257.96, 31,888.74 and 6,467

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Solution

The fourth proportional to 21,257.96, 31,888.74 and 6,467 is: 9,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.96 : 31,888.74 = 6,467 : x
  2. Step 2: Convert to fraction form
    21,257.96/31,888.74 = 6,467/x
  3. Step 3: Cross multiply
    21,257.96x = 31,888.74 × 6,467
  4. Step 4: Simplify right side
    21,257.96x = 206,224,481.58
  5. Step 5: Solve for x
    x = 206,224,481.58/21,257.96
  6. Step 6: Final answer
    x = 9,701.05

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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.