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Finding the Fourth Proportional to 18,059.75, 24,923.56 and 10,102.51

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Solution

The fourth proportional to 18,059.75, 24,923.56 and 10,102.51 is: 13,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,059.75 : 24,923.56 = 10,102.51 : x
  2. Step 2: Convert to fraction form
    18,059.75/24,923.56 = 10,102.51/x
  3. Step 3: Cross multiply
    18,059.75x = 24,923.56 × 10,102.51
  4. Step 4: Simplify right side
    18,059.75x = 251,790,514.14
  5. Step 5: Solve for x
    x = 251,790,514.14/18,059.75
  6. Step 6: Final answer
    x = 13,942.08

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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.