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Finding the Fourth Proportional to 18,237.16, 25,167 and 10,280.14

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Solution

The fourth proportional to 18,237.16, 25,167 and 10,280.14 is: 14,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237.16 : 25,167 = 10,280.14 : x
  2. Step 2: Convert to fraction form
    18,237.16/25,167 = 10,280.14/x
  3. Step 3: Cross multiply
    18,237.16x = 25,167 × 10,280.14
  4. Step 4: Simplify right side
    18,237.16x = 258,720,283.38
  5. Step 5: Solve for x
    x = 258,720,283.38/18,237.16
  6. Step 6: Final answer
    x = 14,186.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.