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Finding the Fourth Proportional to 18,142.12, 25,015.80 and 11,419.50

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Solution

The fourth proportional to 18,142.12, 25,015.80 and 11,419.50 is: 15,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.12 : 25,015.80 = 11,419.50 : x
  2. Step 2: Convert to fraction form
    18,142.12/25,015.80 = 11,419.50/x
  3. Step 3: Cross multiply
    18,142.12x = 25,015.80 × 11,419.50
  4. Step 4: Simplify right side
    18,142.12x = 285,667,928.10
  5. Step 5: Solve for x
    x = 285,667,928.10/18,142.12
  6. Step 6: Final answer
    x = 15,746.12

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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.