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Finding the Fourth Proportional to 16,289.59, 22,467.34 and 11,262.23

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Solution

The fourth proportional to 16,289.59, 22,467.34 and 11,262.23 is: 15,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.59 : 22,467.34 = 11,262.23 : x
  2. Step 2: Convert to fraction form
    16,289.59/22,467.34 = 11,262.23/x
  3. Step 3: Cross multiply
    16,289.59x = 22,467.34 × 11,262.23
  4. Step 4: Simplify right side
    16,289.59x = 253,032,350.57
  5. Step 5: Solve for x
    x = 253,032,350.57/16,289.59
  6. Step 6: Final answer
    x = 15,533.38

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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.