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Finding the Fourth Proportional to 14,467.76, 21,704.92 and 5,233.76

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Solution

The fourth proportional to 14,467.76, 21,704.92 and 5,233.76 is: 7,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.76 : 21,704.92 = 5,233.76 : x
  2. Step 2: Convert to fraction form
    14,467.76/21,704.92 = 5,233.76/x
  3. Step 3: Cross multiply
    14,467.76x = 21,704.92 × 5,233.76
  4. Step 4: Simplify right side
    14,467.76x = 113,598,342.10
  5. Step 5: Solve for x
    x = 113,598,342.10/14,467.76
  6. Step 6: Final answer
    x = 7,851.83

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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.