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Finding the Fourth Proportional to 18,231.54, 25,159.38 and 10,165.10

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Solution

The fourth proportional to 18,231.54, 25,159.38 and 10,165.10 is: 14,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.54 : 25,159.38 = 10,165.10 : x
  2. Step 2: Convert to fraction form
    18,231.54/25,159.38 = 10,165.10/x
  3. Step 3: Cross multiply
    18,231.54x = 25,159.38 × 10,165.10
  4. Step 4: Simplify right side
    18,231.54x = 255,747,544.07
  5. Step 5: Solve for x
    x = 255,747,544.07/18,231.54
  6. Step 6: Final answer
    x = 14,027.75

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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.