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Finding the Fourth Proportional to 26,975.50, 40,468.10 and 8,255.18

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Solution

The fourth proportional to 26,975.50, 40,468.10 and 8,255.18 is: 12,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975.50 : 40,468.10 = 8,255.18 : x
  2. Step 2: Convert to fraction form
    26,975.50/40,468.10 = 8,255.18/x
  3. Step 3: Cross multiply
    26,975.50x = 40,468.10 × 8,255.18
  4. Step 4: Simplify right side
    26,975.50x = 334,071,449.76
  5. Step 5: Solve for x
    x = 334,071,449.76/26,975.50
  6. Step 6: Final answer
    x = 12,384.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.