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Finding the Fourth Proportional to 18,496, 25,524.48 and 10,112.56

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Solution

The fourth proportional to 18,496, 25,524.48 and 10,112.56 is: 13,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 25,524.48 = 10,112.56 : x
  2. Step 2: Convert to fraction form
    18,496/25,524.48 = 10,112.56/x
  3. Step 3: Cross multiply
    18,496x = 25,524.48 × 10,112.56
  4. Step 4: Simplify right side
    18,496x = 258,117,835.47
  5. Step 5: Solve for x
    x = 258,117,835.47/18,496
  6. Step 6: Final answer
    x = 13,955.33

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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.