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Finding the Fourth Proportional to 17,364.50, 26,046.38 and 4,216.94

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Solution

The fourth proportional to 17,364.50, 26,046.38 and 4,216.94 is: 6,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.50 : 26,046.38 = 4,216.94 : x
  2. Step 2: Convert to fraction form
    17,364.50/26,046.38 = 4,216.94/x
  3. Step 3: Cross multiply
    17,364.50x = 26,046.38 × 4,216.94
  4. Step 4: Simplify right side
    17,364.50x = 109,835,901.99
  5. Step 5: Solve for x
    x = 109,835,901.99/17,364.50
  6. Step 6: Final answer
    x = 6,325.32

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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.