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Finding the Fourth Proportional to 18,505.86, 25,538.68 and 10,122.36

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Solution

The fourth proportional to 18,505.86, 25,538.68 and 10,122.36 is: 13,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.86 : 25,538.68 = 10,122.36 : x
  2. Step 2: Convert to fraction form
    18,505.86/25,538.68 = 10,122.36/x
  3. Step 3: Cross multiply
    18,505.86x = 25,538.68 × 10,122.36
  4. Step 4: Simplify right side
    18,505.86x = 258,511,712.88
  5. Step 5: Solve for x
    x = 258,511,712.88/18,505.86
  6. Step 6: Final answer
    x = 13,969.18

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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.