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Finding the Fourth Proportional to 26,811.38, 40,217.08 and 9,271.64

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Solution

The fourth proportional to 26,811.38, 40,217.08 and 9,271.64 is: 13,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811.38 : 40,217.08 = 9,271.64 : x
  2. Step 2: Convert to fraction form
    26,811.38/40,217.08 = 9,271.64/x
  3. Step 3: Cross multiply
    26,811.38x = 40,217.08 × 9,271.64
  4. Step 4: Simplify right side
    26,811.38x = 372,878,287.61
  5. Step 5: Solve for x
    x = 372,878,287.61/26,811.38
  6. Step 6: Final answer
    x = 13,907.46

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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.