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Finding the Fourth Proportional to 14,218.56, 19,622.72 and 7,846.41

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Solution

The fourth proportional to 14,218.56, 19,622.72 and 7,846.41 is: 10,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.56 : 19,622.72 = 7,846.41 : x
  2. Step 2: Convert to fraction form
    14,218.56/19,622.72 = 7,846.41/x
  3. Step 3: Cross multiply
    14,218.56x = 19,622.72 × 7,846.41
  4. Step 4: Simplify right side
    14,218.56x = 153,967,906.44
  5. Step 5: Solve for x
    x = 153,967,906.44/14,218.56
  6. Step 6: Final answer
    x = 10,828.66

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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.