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Finding the Fourth Proportional to 14,134.36, 19,505.64 and 7,846.80

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Solution

The fourth proportional to 14,134.36, 19,505.64 and 7,846.80 is: 10,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.36 : 19,505.64 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    14,134.36/19,505.64 = 7,846.80/x
  3. Step 3: Cross multiply
    14,134.36x = 19,505.64 × 7,846.80
  4. Step 4: Simplify right side
    14,134.36x = 153,056,855.95
  5. Step 5: Solve for x
    x = 153,056,855.95/14,134.36
  6. Step 6: Final answer
    x = 10,828.71

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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.