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Finding the Fourth Proportional to 18,238.14, 25,168.86 and 10,280.16

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Solution

The fourth proportional to 18,238.14, 25,168.86 and 10,280.16 is: 14,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238.14 : 25,168.86 = 10,280.16 : x
  2. Step 2: Convert to fraction form
    18,238.14/25,168.86 = 10,280.16/x
  3. Step 3: Cross multiply
    18,238.14x = 25,168.86 × 10,280.16
  4. Step 4: Simplify right side
    18,238.14x = 258,739,907.82
  5. Step 5: Solve for x
    x = 258,739,907.82/18,238.14
  6. Step 6: Final answer
    x = 14,186.75

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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.