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Finding the Fourth Proportional to 21,271.68, 31,907.22 and 9,576.60

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Solution

The fourth proportional to 21,271.68, 31,907.22 and 9,576.60 is: 14,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.68 : 31,907.22 = 9,576.60 : x
  2. Step 2: Convert to fraction form
    21,271.68/31,907.22 = 9,576.60/x
  3. Step 3: Cross multiply
    21,271.68x = 31,907.22 × 9,576.60
  4. Step 4: Simplify right side
    21,271.68x = 305,562,683.05
  5. Step 5: Solve for x
    x = 305,562,683.05/21,271.68
  6. Step 6: Final answer
    x = 14,364.76

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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.