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Finding the Fourth Proportional to 23,756.82, 32,783.22 and 13,147.14

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Solution

The fourth proportional to 23,756.82, 32,783.22 and 13,147.14 is: 18,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756.82 : 32,783.22 = 13,147.14 : x
  2. Step 2: Convert to fraction form
    23,756.82/32,783.22 = 13,147.14/x
  3. Step 3: Cross multiply
    23,756.82x = 32,783.22 × 13,147.14
  4. Step 4: Simplify right side
    23,756.82x = 431,005,582.99
  5. Step 5: Solve for x
    x = 431,005,582.99/23,756.82
  6. Step 6: Final answer
    x = 18,142.39

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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.