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Finding the Fourth Proportional to 14,029.88, 19,361.30 and 7,742.66

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Solution

The fourth proportional to 14,029.88, 19,361.30 and 7,742.66 is: 10,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.88 : 19,361.30 = 7,742.66 : x
  2. Step 2: Convert to fraction form
    14,029.88/19,361.30 = 7,742.66/x
  3. Step 3: Cross multiply
    14,029.88x = 19,361.30 × 7,742.66
  4. Step 4: Simplify right side
    14,029.88x = 149,907,827.54
  5. Step 5: Solve for x
    x = 149,907,827.54/14,029.88
  6. Step 6: Final answer
    x = 10,684.90

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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.