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Finding the Fourth Proportional to 17,545, 26,322.06 and 5,233

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Solution

The fourth proportional to 17,545, 26,322.06 and 5,233 is: 7,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545 : 26,322.06 = 5,233 : x
  2. Step 2: Convert to fraction form
    17,545/26,322.06 = 5,233/x
  3. Step 3: Cross multiply
    17,545x = 26,322.06 × 5,233
  4. Step 4: Simplify right side
    17,545x = 137,743,339.98
  5. Step 5: Solve for x
    x = 137,743,339.98/17,545
  6. Step 6: Final answer
    x = 7,850.86

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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.