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Finding the Fourth Proportional to 14,116.56, 19,480.72 and 7,743.02

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Solution

The fourth proportional to 14,116.56, 19,480.72 and 7,743.02 is: 10,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.56 : 19,480.72 = 7,743.02 : x
  2. Step 2: Convert to fraction form
    14,116.56/19,480.72 = 7,743.02/x
  3. Step 3: Cross multiply
    14,116.56x = 19,480.72 × 7,743.02
  4. Step 4: Simplify right side
    14,116.56x = 150,839,585.22
  5. Step 5: Solve for x
    x = 150,839,585.22/14,116.56
  6. Step 6: Final answer
    x = 10,685.29

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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.