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Finding the Fourth Proportional to 14,029.90, 19,361.24 and 7,742.27

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Solution

The fourth proportional to 14,029.90, 19,361.24 and 7,742.27 is: 10,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.90 : 19,361.24 = 7,742.27 : x
  2. Step 2: Convert to fraction form
    14,029.90/19,361.24 = 7,742.27/x
  3. Step 3: Cross multiply
    14,029.90x = 19,361.24 × 7,742.27
  4. Step 4: Simplify right side
    14,029.90x = 149,899,947.61
  5. Step 5: Solve for x
    x = 149,899,947.61/14,029.90
  6. Step 6: Final answer
    x = 10,684.32

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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.