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Finding the Fourth Proportional to 23,603.40, 35,396.67 and 7,805.52

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Solution

The fourth proportional to 23,603.40, 35,396.67 and 7,805.52 is: 11,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.40 : 35,396.67 = 7,805.52 : x
  2. Step 2: Convert to fraction form
    23,603.40/35,396.67 = 7,805.52/x
  3. Step 3: Cross multiply
    23,603.40x = 35,396.67 × 7,805.52
  4. Step 4: Simplify right side
    23,603.40x = 276,289,415.62
  5. Step 5: Solve for x
    x = 276,289,415.62/23,603.40
  6. Step 6: Final answer
    x = 11,705.49

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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.