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Finding the Fourth Proportional to 23,406.56, 35,110.80 and 7,824.32

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Solution

The fourth proportional to 23,406.56, 35,110.80 and 7,824.32 is: 11,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.56 : 35,110.80 = 7,824.32 : x
  2. Step 2: Convert to fraction form
    23,406.56/35,110.80 = 7,824.32/x
  3. Step 3: Cross multiply
    23,406.56x = 35,110.80 × 7,824.32
  4. Step 4: Simplify right side
    23,406.56x = 274,718,134.66
  5. Step 5: Solve for x
    x = 274,718,134.66/23,406.56
  6. Step 6: Final answer
    x = 11,736.80

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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.