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Finding the Fourth Proportional to 14,111.75, 19,473.81 and 7,738.22

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Solution

The fourth proportional to 14,111.75, 19,473.81 and 7,738.22 is: 10,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.75 : 19,473.81 = 7,738.22 : x
  2. Step 2: Convert to fraction form
    14,111.75/19,473.81 = 7,738.22/x
  3. Step 3: Cross multiply
    14,111.75x = 19,473.81 × 7,738.22
  4. Step 4: Simplify right side
    14,111.75x = 150,692,626.02
  5. Step 5: Solve for x
    x = 150,692,626.02/14,111.75
  6. Step 6: Final answer
    x = 10,678.52

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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.