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Finding the Fourth Proportional to 16,447.90, 22,683.75 and 11,658.37

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Solution

The fourth proportional to 16,447.90, 22,683.75 and 11,658.37 is: 16,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.90 : 22,683.75 = 11,658.37 : x
  2. Step 2: Convert to fraction form
    16,447.90/22,683.75 = 11,658.37/x
  3. Step 3: Cross multiply
    16,447.90x = 22,683.75 × 11,658.37
  4. Step 4: Simplify right side
    16,447.90x = 264,455,437.07
  5. Step 5: Solve for x
    x = 264,455,437.07/16,447.90
  6. Step 6: Final answer
    x = 16,078.38

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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.