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Finding the Fourth Proportional to 17,533, 26,312.46 and 8,299

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Solution

The fourth proportional to 17,533, 26,312.46 and 8,299 is: 12,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533 : 26,312.46 = 8,299 : x
  2. Step 2: Convert to fraction form
    17,533/26,312.46 = 8,299/x
  3. Step 3: Cross multiply
    17,533x = 26,312.46 × 8,299
  4. Step 4: Simplify right side
    17,533x = 218,367,105.54
  5. Step 5: Solve for x
    x = 218,367,105.54/17,533
  6. Step 6: Final answer
    x = 12,454.63

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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.