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Finding the Fourth Proportional to 21,704.72, 32,567.20 and 7,675.37

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Solution

The fourth proportional to 21,704.72, 32,567.20 and 7,675.37 is: 11,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.72 : 32,567.20 = 7,675.37 : x
  2. Step 2: Convert to fraction form
    21,704.72/32,567.20 = 7,675.37/x
  3. Step 3: Cross multiply
    21,704.72x = 32,567.20 × 7,675.37
  4. Step 4: Simplify right side
    21,704.72x = 249,965,147.03
  5. Step 5: Solve for x
    x = 249,965,147.03/21,704.72
  6. Step 6: Final answer
    x = 11,516.63

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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.