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Finding the Fourth Proportional to 14,556.84, 20,086.56 and 8,268

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Solution

The fourth proportional to 14,556.84, 20,086.56 and 8,268 is: 11,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.84 : 20,086.56 = 8,268 : x
  2. Step 2: Convert to fraction form
    14,556.84/20,086.56 = 8,268/x
  3. Step 3: Cross multiply
    14,556.84x = 20,086.56 × 8,268
  4. Step 4: Simplify right side
    14,556.84x = 166,075,678.08
  5. Step 5: Solve for x
    x = 166,075,678.08/14,556.84
  6. Step 6: Final answer
    x = 11,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.