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Finding the Fourth Proportional to 16,336.58, 22,544.49 and 9,263

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Solution

The fourth proportional to 16,336.58, 22,544.49 and 9,263 is: 12,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.58 : 22,544.49 = 9,263 : x
  2. Step 2: Convert to fraction form
    16,336.58/22,544.49 = 9,263/x
  3. Step 3: Cross multiply
    16,336.58x = 22,544.49 × 9,263
  4. Step 4: Simplify right side
    16,336.58x = 208,829,564.56
  5. Step 5: Solve for x
    x = 208,829,564.56/16,336.58
  6. Step 6: Final answer
    x = 12,782.94

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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.