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Finding the Fourth Proportional to 13,814.40, 19,065.24 and 7,846.44

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Solution

The fourth proportional to 13,814.40, 19,065.24 and 7,846.44 is: 10,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.40 : 19,065.24 = 7,846.44 : x
  2. Step 2: Convert to fraction form
    13,814.40/19,065.24 = 7,846.44/x
  3. Step 3: Cross multiply
    13,814.40x = 19,065.24 × 7,846.44
  4. Step 4: Simplify right side
    13,814.40x = 149,594,261.75
  5. Step 5: Solve for x
    x = 149,594,261.75/13,814.40
  6. Step 6: Final answer
    x = 10,828.86

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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.