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Finding the Fourth Proportional to 14,463, 21,696.66 and 5,231.16

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Solution

The fourth proportional to 14,463, 21,696.66 and 5,231.16 is: 7,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463 : 21,696.66 = 5,231.16 : x
  2. Step 2: Convert to fraction form
    14,463/21,696.66 = 5,231.16/x
  3. Step 3: Cross multiply
    14,463x = 21,696.66 × 5,231.16
  4. Step 4: Simplify right side
    14,463x = 113,498,699.93
  5. Step 5: Solve for x
    x = 113,498,699.93/14,463
  6. Step 6: Final answer
    x = 7,847.52

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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.