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Finding the Fourth Proportional to 13,764.42, 18,995.13 and 7,476.80

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Solution

The fourth proportional to 13,764.42, 18,995.13 and 7,476.80 is: 10,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.42 : 18,995.13 = 7,476.80 : x
  2. Step 2: Convert to fraction form
    13,764.42/18,995.13 = 7,476.80/x
  3. Step 3: Cross multiply
    13,764.42x = 18,995.13 × 7,476.80
  4. Step 4: Simplify right side
    13,764.42x = 142,022,693.01
  5. Step 5: Solve for x
    x = 142,022,693.01/13,764.42
  6. Step 6: Final answer
    x = 10,318.10

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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.