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Finding the Fourth Proportional to 23,682.06, 35,526.33 and 8,095.50

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Solution

The fourth proportional to 23,682.06, 35,526.33 and 8,095.50 is: 12,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.06 : 35,526.33 = 8,095.50 : x
  2. Step 2: Convert to fraction form
    23,682.06/35,526.33 = 8,095.50/x
  3. Step 3: Cross multiply
    23,682.06x = 35,526.33 × 8,095.50
  4. Step 4: Simplify right side
    23,682.06x = 287,603,404.52
  5. Step 5: Solve for x
    x = 287,603,404.52/23,682.06
  6. Step 6: Final answer
    x = 12,144.36

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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.