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Finding the Fourth Proportional to 17,409.38, 26,114.68 and 5,723.50

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Solution

The fourth proportional to 17,409.38, 26,114.68 and 5,723.50 is: 8,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.38 : 26,114.68 = 5,723.50 : x
  2. Step 2: Convert to fraction form
    17,409.38/26,114.68 = 5,723.50/x
  3. Step 3: Cross multiply
    17,409.38x = 26,114.68 × 5,723.50
  4. Step 4: Simplify right side
    17,409.38x = 149,467,370.98
  5. Step 5: Solve for x
    x = 149,467,370.98/17,409.38
  6. Step 6: Final answer
    x = 8,585.45

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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.