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Finding the Fourth Proportional to 19,532.68, 26,954.76 and 11,149

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Solution

The fourth proportional to 19,532.68, 26,954.76 and 11,149 is: 15,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.68 : 26,954.76 = 11,149 : x
  2. Step 2: Convert to fraction form
    19,532.68/26,954.76 = 11,149/x
  3. Step 3: Cross multiply
    19,532.68x = 26,954.76 × 11,149
  4. Step 4: Simplify right side
    19,532.68x = 300,518,619.24
  5. Step 5: Solve for x
    x = 300,518,619.24/19,532.68
  6. Step 6: Final answer
    x = 15,385.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.