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Finding the Fourth Proportional to 14,029.94, 19,361.22 and 7,742.34

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Solution

The fourth proportional to 14,029.94, 19,361.22 and 7,742.34 is: 10,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.94 : 19,361.22 = 7,742.34 : x
  2. Step 2: Convert to fraction form
    14,029.94/19,361.22 = 7,742.34/x
  3. Step 3: Cross multiply
    14,029.94x = 19,361.22 × 7,742.34
  4. Step 4: Simplify right side
    14,029.94x = 149,901,148.05
  5. Step 5: Solve for x
    x = 149,901,148.05/14,029.94
  6. Step 6: Final answer
    x = 10,684.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.