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Finding the Fourth Proportional to 14,536.46, 21,806.73 and 4,672.42

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Solution

The fourth proportional to 14,536.46, 21,806.73 and 4,672.42 is: 7,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.46 : 21,806.73 = 4,672.42 : x
  2. Step 2: Convert to fraction form
    14,536.46/21,806.73 = 4,672.42/x
  3. Step 3: Cross multiply
    14,536.46x = 21,806.73 × 4,672.42
  4. Step 4: Simplify right side
    14,536.46x = 101,890,201.39
  5. Step 5: Solve for x
    x = 101,890,201.39/14,536.46
  6. Step 6: Final answer
    x = 7,009.29

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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.