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Finding the Fourth Proportional to 21,271.74, 31,907.60 and 8,125.44

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Solution

The fourth proportional to 21,271.74, 31,907.60 and 8,125.44 is: 12,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.74 : 31,907.60 = 8,125.44 : x
  2. Step 2: Convert to fraction form
    21,271.74/31,907.60 = 8,125.44/x
  3. Step 3: Cross multiply
    21,271.74x = 31,907.60 × 8,125.44
  4. Step 4: Simplify right side
    21,271.74x = 259,263,289.34
  5. Step 5: Solve for x
    x = 259,263,289.34/21,271.74
  6. Step 6: Final answer
    x = 12,188.16

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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.