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Finding the Fourth Proportional to 17,802.50, 26,704.11 and 5,490.50

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Solution

The fourth proportional to 17,802.50, 26,704.11 and 5,490.50 is: 8,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.50 : 26,704.11 = 5,490.50 : x
  2. Step 2: Convert to fraction form
    17,802.50/26,704.11 = 5,490.50/x
  3. Step 3: Cross multiply
    17,802.50x = 26,704.11 × 5,490.50
  4. Step 4: Simplify right side
    17,802.50x = 146,618,915.96
  5. Step 5: Solve for x
    x = 146,618,915.96/17,802.50
  6. Step 6: Final answer
    x = 8,235.86

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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.