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Finding the Fourth Proportional to 18,482, 25,505.40 and 10,098.68

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Solution

The fourth proportional to 18,482, 25,505.40 and 10,098.68 is: 13,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,482 : 25,505.40 = 10,098.68 : x
  2. Step 2: Convert to fraction form
    18,482/25,505.40 = 10,098.68/x
  3. Step 3: Cross multiply
    18,482x = 25,505.40 × 10,098.68
  4. Step 4: Simplify right side
    18,482x = 257,570,872.87
  5. Step 5: Solve for x
    x = 257,570,872.87/18,482
  6. Step 6: Final answer
    x = 13,936.31

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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.