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Finding the Fourth Proportional to 18,852, 26,015.16 and 10,894

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Solution

The fourth proportional to 18,852, 26,015.16 and 10,894 is: 15,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,852 : 26,015.16 = 10,894 : x
  2. Step 2: Convert to fraction form
    18,852/26,015.16 = 10,894/x
  3. Step 3: Cross multiply
    18,852x = 26,015.16 × 10,894
  4. Step 4: Simplify right side
    18,852x = 283,409,153.04
  5. Step 5: Solve for x
    x = 283,409,153.04/18,852
  6. Step 6: Final answer
    x = 15,033.37

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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.