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Finding the Fourth Proportional to 18,186.33, 25,095.35 and 10,228.38

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Solution

The fourth proportional to 18,186.33, 25,095.35 and 10,228.38 is: 14,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.33 : 25,095.35 = 10,228.38 : x
  2. Step 2: Convert to fraction form
    18,186.33/25,095.35 = 10,228.38/x
  3. Step 3: Cross multiply
    18,186.33x = 25,095.35 × 10,228.38
  4. Step 4: Simplify right side
    18,186.33x = 256,684,776.03
  5. Step 5: Solve for x
    x = 256,684,776.03/18,186.33
  6. Step 6: Final answer
    x = 14,114.16

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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.