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Finding the Fourth Proportional to 16,078.26, 24,124.26 and 8,292.54

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Solution

The fourth proportional to 16,078.26, 24,124.26 and 8,292.54 is: 12,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.26 : 24,124.26 = 8,292.54 : x
  2. Step 2: Convert to fraction form
    16,078.26/24,124.26 = 8,292.54/x
  3. Step 3: Cross multiply
    16,078.26x = 24,124.26 × 8,292.54
  4. Step 4: Simplify right side
    16,078.26x = 200,051,391.02
  5. Step 5: Solve for x
    x = 200,051,391.02/16,078.26
  6. Step 6: Final answer
    x = 12,442.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.