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Finding the Fourth Proportional to 16,311.44, 22,511.24 and 9,238.32

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Solution

The fourth proportional to 16,311.44, 22,511.24 and 9,238.32 is: 12,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.44 : 22,511.24 = 9,238.32 : x
  2. Step 2: Convert to fraction form
    16,311.44/22,511.24 = 9,238.32/x
  3. Step 3: Cross multiply
    16,311.44x = 22,511.24 × 9,238.32
  4. Step 4: Simplify right side
    16,311.44x = 207,966,038.72
  5. Step 5: Solve for x
    x = 207,966,038.72/16,311.44
  6. Step 6: Final answer
    x = 12,749.70

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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.