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Finding the Fourth Proportional to 27,523.68, 41,312.96 and 12,736

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Solution

The fourth proportional to 27,523.68, 41,312.96 and 12,736 is: 19,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.68 : 41,312.96 = 12,736 : x
  2. Step 2: Convert to fraction form
    27,523.68/41,312.96 = 12,736/x
  3. Step 3: Cross multiply
    27,523.68x = 41,312.96 × 12,736
  4. Step 4: Simplify right side
    27,523.68x = 526,161,858.56
  5. Step 5: Solve for x
    x = 526,161,858.56/27,523.68
  6. Step 6: Final answer
    x = 19,116.70

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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.