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Finding the Fourth Proportional to 17,006.58, 25,472.88 and 8,223

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Solution

The fourth proportional to 17,006.58, 25,472.88 and 8,223 is: 12,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.58 : 25,472.88 = 8,223 : x
  2. Step 2: Convert to fraction form
    17,006.58/25,472.88 = 8,223/x
  3. Step 3: Cross multiply
    17,006.58x = 25,472.88 × 8,223
  4. Step 4: Simplify right side
    17,006.58x = 209,463,492.24
  5. Step 5: Solve for x
    x = 209,463,492.24/17,006.58
  6. Step 6: Final answer
    x = 12,316.61

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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.