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Finding the Fourth Proportional to 14,134.26, 19,505.26 and 7,846.68

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Solution

The fourth proportional to 14,134.26, 19,505.26 and 7,846.68 is: 10,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.26 : 19,505.26 = 7,846.68 : x
  2. Step 2: Convert to fraction form
    14,134.26/19,505.26 = 7,846.68/x
  3. Step 3: Cross multiply
    14,134.26x = 19,505.26 × 7,846.68
  4. Step 4: Simplify right side
    14,134.26x = 153,051,533.54
  5. Step 5: Solve for x
    x = 153,051,533.54/14,134.26
  6. Step 6: Final answer
    x = 10,828.41

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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.