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Finding the Fourth Proportional to 23,643.87, 32,628.11 and 12,888.86

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Solution

The fourth proportional to 23,643.87, 32,628.11 and 12,888.86 is: 17,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.87 : 32,628.11 = 12,888.86 : x
  2. Step 2: Convert to fraction form
    23,643.87/32,628.11 = 12,888.86/x
  3. Step 3: Cross multiply
    23,643.87x = 32,628.11 × 12,888.86
  4. Step 4: Simplify right side
    23,643.87x = 420,538,914.27
  5. Step 5: Solve for x
    x = 420,538,914.27/23,643.87
  6. Step 6: Final answer
    x = 17,786.38

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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.