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Finding the Fourth Proportional to 17,364, 26,047.20 and 8,596.56

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Solution

The fourth proportional to 17,364, 26,047.20 and 8,596.56 is: 12,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 26,047.20 = 8,596.56 : x
  2. Step 2: Convert to fraction form
    17,364/26,047.20 = 8,596.56/x
  3. Step 3: Cross multiply
    17,364x = 26,047.20 × 8,596.56
  4. Step 4: Simplify right side
    17,364x = 223,916,317.63
  5. Step 5: Solve for x
    x = 223,916,317.63/17,364
  6. Step 6: Final answer
    x = 12,895.43

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Why These Related Problems?

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