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Finding the Fourth Proportional to 24,405.92, 36,619.36 and 7,767.32

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Solution

The fourth proportional to 24,405.92, 36,619.36 and 7,767.32 is: 11,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.92 : 36,619.36 = 7,767.32 : x
  2. Step 2: Convert to fraction form
    24,405.92/36,619.36 = 7,767.32/x
  3. Step 3: Cross multiply
    24,405.92x = 36,619.36 × 7,767.32
  4. Step 4: Simplify right side
    24,405.92x = 284,434,287.32
  5. Step 5: Solve for x
    x = 284,434,287.32/24,405.92
  6. Step 6: Final answer
    x = 11,654.32

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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.