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Finding the Fourth Proportional to 17,986.44, 24,824.50 and 11,277.80

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Solution

The fourth proportional to 17,986.44, 24,824.50 and 11,277.80 is: 15,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.44 : 24,824.50 = 11,277.80 : x
  2. Step 2: Convert to fraction form
    17,986.44/24,824.50 = 11,277.80/x
  3. Step 3: Cross multiply
    17,986.44x = 24,824.50 × 11,277.80
  4. Step 4: Simplify right side
    17,986.44x = 279,965,746.10
  5. Step 5: Solve for x
    x = 279,965,746.10/17,986.44
  6. Step 6: Final answer
    x = 15,565.38

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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.