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Finding the Fourth Proportional to 27,645.81, 41,468.71 and 8,928.60

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Solution

The fourth proportional to 27,645.81, 41,468.71 and 8,928.60 is: 13,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.81 : 41,468.71 = 8,928.60 : x
  2. Step 2: Convert to fraction form
    27,645.81/41,468.71 = 8,928.60/x
  3. Step 3: Cross multiply
    27,645.81x = 41,468.71 × 8,928.60
  4. Step 4: Simplify right side
    27,645.81x = 370,257,524.11
  5. Step 5: Solve for x
    x = 370,257,524.11/27,645.81
  6. Step 6: Final answer
    x = 13,392.90

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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.