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Finding the Fourth Proportional to 18,823.14, 25,972.21 and 11,165.00

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Solution

The fourth proportional to 18,823.14, 25,972.21 and 11,165.00 is: 15,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.14 : 25,972.21 = 11,165.00 : x
  2. Step 2: Convert to fraction form
    18,823.14/25,972.21 = 11,165.00/x
  3. Step 3: Cross multiply
    18,823.14x = 25,972.21 × 11,165.00
  4. Step 4: Simplify right side
    18,823.14x = 289,979,608.75
  5. Step 5: Solve for x
    x = 289,979,608.75/18,823.14
  6. Step 6: Final answer
    x = 15,405.49

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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.