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Finding the Fourth Proportional to 14,437.22, 21,652 and 5,672.22

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Solution

The fourth proportional to 14,437.22, 21,652 and 5,672.22 is: 8,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.22 : 21,652 = 5,672.22 : x
  2. Step 2: Convert to fraction form
    14,437.22/21,652 = 5,672.22/x
  3. Step 3: Cross multiply
    14,437.22x = 21,652 × 5,672.22
  4. Step 4: Simplify right side
    14,437.22x = 122,814,907.44
  5. Step 5: Solve for x
    x = 122,814,907.44/14,437.22
  6. Step 6: Final answer
    x = 8,506.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.