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Finding the Fourth Proportional to 12,867.20, 17,751.50 and 7,827.38

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Solution

The fourth proportional to 12,867.20, 17,751.50 and 7,827.38 is: 10,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.20 : 17,751.50 = 7,827.38 : x
  2. Step 2: Convert to fraction form
    12,867.20/17,751.50 = 7,827.38/x
  3. Step 3: Cross multiply
    12,867.20x = 17,751.50 × 7,827.38
  4. Step 4: Simplify right side
    12,867.20x = 138,947,847.98
  5. Step 5: Solve for x
    x = 138,947,847.98/12,867.20
  6. Step 6: Final answer
    x = 10,798.60

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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.