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Finding the Fourth Proportional to 14,083.26, 19,434.75 and 7,709.78

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Solution

The fourth proportional to 14,083.26, 19,434.75 and 7,709.78 is: 10,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.26 : 19,434.75 = 7,709.78 : x
  2. Step 2: Convert to fraction form
    14,083.26/19,434.75 = 7,709.78/x
  3. Step 3: Cross multiply
    14,083.26x = 19,434.75 × 7,709.78
  4. Step 4: Simplify right side
    14,083.26x = 149,837,549.68
  5. Step 5: Solve for x
    x = 149,837,549.68/14,083.26
  6. Step 6: Final answer
    x = 10,639.41

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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.