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Finding the Fourth Proportional to 14,112.56, 19,474.68 and 8,146.16

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Solution

The fourth proportional to 14,112.56, 19,474.68 and 8,146.16 is: 11,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.56 : 19,474.68 = 8,146.16 : x
  2. Step 2: Convert to fraction form
    14,112.56/19,474.68 = 8,146.16/x
  3. Step 3: Cross multiply
    14,112.56x = 19,474.68 × 8,146.16
  4. Step 4: Simplify right side
    14,112.56x = 158,643,859.23
  5. Step 5: Solve for x
    x = 158,643,859.23/14,112.56
  6. Step 6: Final answer
    x = 11,241.32

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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.