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Finding the Fourth Proportional to 23,978.96, 35,968.44 and 8,401.04

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Solution

The fourth proportional to 23,978.96, 35,968.44 and 8,401.04 is: 12,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.96 : 35,968.44 = 8,401.04 : x
  2. Step 2: Convert to fraction form
    23,978.96/35,968.44 = 8,401.04/x
  3. Step 3: Cross multiply
    23,978.96x = 35,968.44 × 8,401.04
  4. Step 4: Simplify right side
    23,978.96x = 302,172,303.18
  5. Step 5: Solve for x
    x = 302,172,303.18/23,978.96
  6. Step 6: Final answer
    x = 12,601.56

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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.