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Finding the Fourth Proportional to 17,478.23, 26,191.42 and 12,838.55

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Solution

The fourth proportional to 17,478.23, 26,191.42 and 12,838.55 is: 19,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.23 : 26,191.42 = 12,838.55 : x
  2. Step 2: Convert to fraction form
    17,478.23/26,191.42 = 12,838.55/x
  3. Step 3: Cross multiply
    17,478.23x = 26,191.42 × 12,838.55
  4. Step 4: Simplify right side
    17,478.23x = 336,259,855.24
  5. Step 5: Solve for x
    x = 336,259,855.24/17,478.23
  6. Step 6: Final answer
    x = 19,238.78

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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.