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Finding the Fourth Proportional to 18,405.86, 25,400.06 and 10,022.42

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Solution

The fourth proportional to 18,405.86, 25,400.06 and 10,022.42 is: 13,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405.86 : 25,400.06 = 10,022.42 : x
  2. Step 2: Convert to fraction form
    18,405.86/25,400.06 = 10,022.42/x
  3. Step 3: Cross multiply
    18,405.86x = 25,400.06 × 10,022.42
  4. Step 4: Simplify right side
    18,405.86x = 254,570,069.35
  5. Step 5: Solve for x
    x = 254,570,069.35/18,405.86
  6. Step 6: Final answer
    x = 13,830.93

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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.