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Finding the Fourth Proportional to 16,216.54, 22,378.37 and 9,046.67

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Solution

The fourth proportional to 16,216.54, 22,378.37 and 9,046.67 is: 12,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.54 : 22,378.37 = 9,046.67 : x
  2. Step 2: Convert to fraction form
    16,216.54/22,378.37 = 9,046.67/x
  3. Step 3: Cross multiply
    16,216.54x = 22,378.37 × 9,046.67
  4. Step 4: Simplify right side
    16,216.54x = 202,449,571.40
  5. Step 5: Solve for x
    x = 202,449,571.40/16,216.54
  6. Step 6: Final answer
    x = 12,484.14

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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.