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Finding the Fourth Proportional to 14,164.53, 19,538.43 and 10,191.03

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Solution

The fourth proportional to 14,164.53, 19,538.43 and 10,191.03 is: 14,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.53 : 19,538.43 = 10,191.03 : x
  2. Step 2: Convert to fraction form
    14,164.53/19,538.43 = 10,191.03/x
  3. Step 3: Cross multiply
    14,164.53x = 19,538.43 × 10,191.03
  4. Step 4: Simplify right side
    14,164.53x = 199,116,726.28
  5. Step 5: Solve for x
    x = 199,116,726.28/14,164.53
  6. Step 6: Final answer
    x = 14,057.42

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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.