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Finding the Fourth Proportional to 16,902.50, 25,361.04 and 6,521.54

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Solution

The fourth proportional to 16,902.50, 25,361.04 and 6,521.54 is: 9,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.50 : 25,361.04 = 6,521.54 : x
  2. Step 2: Convert to fraction form
    16,902.50/25,361.04 = 6,521.54/x
  3. Step 3: Cross multiply
    16,902.50x = 25,361.04 × 6,521.54
  4. Step 4: Simplify right side
    16,902.50x = 165,393,036.80
  5. Step 5: Solve for x
    x = 165,393,036.80/16,902.50
  6. Step 6: Final answer
    x = 9,785.12

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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.