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Finding the Fourth Proportional to 23,806.32, 35,670.51 and 14,449.20

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Solution

The fourth proportional to 23,806.32, 35,670.51 and 14,449.20 is: 21,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.32 : 35,670.51 = 14,449.20 : x
  2. Step 2: Convert to fraction form
    23,806.32/35,670.51 = 14,449.20/x
  3. Step 3: Cross multiply
    23,806.32x = 35,670.51 × 14,449.20
  4. Step 4: Simplify right side
    23,806.32x = 515,410,333.09
  5. Step 5: Solve for x
    x = 515,410,333.09/23,806.32
  6. Step 6: Final answer
    x = 21,650.15

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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.