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Finding the Fourth Proportional to 16,111.78, 22,234.28 and 8,941.47

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Solution

The fourth proportional to 16,111.78, 22,234.28 and 8,941.47 is: 12,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.78 : 22,234.28 = 8,941.47 : x
  2. Step 2: Convert to fraction form
    16,111.78/22,234.28 = 8,941.47/x
  3. Step 3: Cross multiply
    16,111.78x = 22,234.28 × 8,941.47
  4. Step 4: Simplify right side
    16,111.78x = 198,807,147.59
  5. Step 5: Solve for x
    x = 198,807,147.59/16,111.78
  6. Step 6: Final answer
    x = 12,339.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.