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Finding the Fourth Proportional to 13,774.62, 19,016.79 and 10,538.36

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Solution

The fourth proportional to 13,774.62, 19,016.79 and 10,538.36 is: 14,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.62 : 19,016.79 = 10,538.36 : x
  2. Step 2: Convert to fraction form
    13,774.62/19,016.79 = 10,538.36/x
  3. Step 3: Cross multiply
    13,774.62x = 19,016.79 × 10,538.36
  4. Step 4: Simplify right side
    13,774.62x = 200,405,775.05
  5. Step 5: Solve for x
    x = 200,405,775.05/13,774.62
  6. Step 6: Final answer
    x = 14,548.91

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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.