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Finding the Fourth Proportional to 16,226.70, 24,222.67 and 14,258.40

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Solution

The fourth proportional to 16,226.70, 24,222.67 and 14,258.40 is: 21,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.70 : 24,222.67 = 14,258.40 : x
  2. Step 2: Convert to fraction form
    16,226.70/24,222.67 = 14,258.40/x
  3. Step 3: Cross multiply
    16,226.70x = 24,222.67 × 14,258.40
  4. Step 4: Simplify right side
    16,226.70x = 345,376,517.93
  5. Step 5: Solve for x
    x = 345,376,517.93/16,226.70
  6. Step 6: Final answer
    x = 21,284.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.