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Finding the Fourth Proportional to 17,913.90, 26,874.73 and 6,820.80

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Solution

The fourth proportional to 17,913.90, 26,874.73 and 6,820.80 is: 10,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.90 : 26,874.73 = 6,820.80 : x
  2. Step 2: Convert to fraction form
    17,913.90/26,874.73 = 6,820.80/x
  3. Step 3: Cross multiply
    17,913.90x = 26,874.73 × 6,820.80
  4. Step 4: Simplify right side
    17,913.90x = 183,307,158.38
  5. Step 5: Solve for x
    x = 183,307,158.38/17,913.90
  6. Step 6: Final answer
    x = 10,232.68

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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.