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Finding the Fourth Proportional to 23,873.56, 32,944.34 and 13,263.80

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Solution

The fourth proportional to 23,873.56, 32,944.34 and 13,263.80 is: 18,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.56 : 32,944.34 = 13,263.80 : x
  2. Step 2: Convert to fraction form
    23,873.56/32,944.34 = 13,263.80/x
  3. Step 3: Cross multiply
    23,873.56x = 32,944.34 × 13,263.80
  4. Step 4: Simplify right side
    23,873.56x = 436,967,136.89
  5. Step 5: Solve for x
    x = 436,967,136.89/23,873.56
  6. Step 6: Final answer
    x = 18,303.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.