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Finding the Fourth Proportional to 14,463, 21,697.56 and 8,226

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Solution

The fourth proportional to 14,463, 21,697.56 and 8,226 is: 12,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463 : 21,697.56 = 8,226 : x
  2. Step 2: Convert to fraction form
    14,463/21,697.56 = 8,226/x
  3. Step 3: Cross multiply
    14,463x = 21,697.56 × 8,226
  4. Step 4: Simplify right side
    14,463x = 178,484,128.56
  5. Step 5: Solve for x
    x = 178,484,128.56/14,463
  6. Step 6: Final answer
    x = 12,340.74

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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.