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Finding the Fourth Proportional to 16,902.78, 25,356 and 7,036.58

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Solution

The fourth proportional to 16,902.78, 25,356 and 7,036.58 is: 10,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.78 : 25,356 = 7,036.58 : x
  2. Step 2: Convert to fraction form
    16,902.78/25,356 = 7,036.58/x
  3. Step 3: Cross multiply
    16,902.78x = 25,356 × 7,036.58
  4. Step 4: Simplify right side
    16,902.78x = 178,419,522.48
  5. Step 5: Solve for x
    x = 178,419,522.48/16,902.78
  6. Step 6: Final answer
    x = 10,555.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.