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Finding the Fourth Proportional to 14,437.22, 21,652 and 5,672.21

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Solution

The fourth proportional to 14,437.22, 21,652 and 5,672.21 is: 8,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.22 : 21,652 = 5,672.21 : x
  2. Step 2: Convert to fraction form
    14,437.22/21,652 = 5,672.21/x
  3. Step 3: Cross multiply
    14,437.22x = 21,652 × 5,672.21
  4. Step 4: Simplify right side
    14,437.22x = 122,814,690.92
  5. Step 5: Solve for x
    x = 122,814,690.92/14,437.22
  6. Step 6: Final answer
    x = 8,506.81

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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.