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Finding the Fourth Proportional to 23,985.74, 35,978.84 and 7,344.52

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Solution

The fourth proportional to 23,985.74, 35,978.84 and 7,344.52 is: 11,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,985.74 : 35,978.84 = 7,344.52 : x
  2. Step 2: Convert to fraction form
    23,985.74/35,978.84 = 7,344.52/x
  3. Step 3: Cross multiply
    23,985.74x = 35,978.84 × 7,344.52
  4. Step 4: Simplify right side
    23,985.74x = 264,247,309.96
  5. Step 5: Solve for x
    x = 264,247,309.96/23,985.74
  6. Step 6: Final answer
    x = 11,016.85

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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.