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Finding the Fourth Proportional to 16,163.99, 22,307.16 and 9,453.54

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Solution

The fourth proportional to 16,163.99, 22,307.16 and 9,453.54 is: 13,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.99 : 22,307.16 = 9,453.54 : x
  2. Step 2: Convert to fraction form
    16,163.99/22,307.16 = 9,453.54/x
  3. Step 3: Cross multiply
    16,163.99x = 22,307.16 × 9,453.54
  4. Step 4: Simplify right side
    16,163.99x = 210,881,748.45
  5. Step 5: Solve for x
    x = 210,881,748.45/16,163.99
  6. Step 6: Final answer
    x = 13,046.39

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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.