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Finding the Fourth Proportional to 17,326, 26,000.52 and 6,382

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Solution

The fourth proportional to 17,326, 26,000.52 and 6,382 is: 9,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,326 : 26,000.52 = 6,382 : x
  2. Step 2: Convert to fraction form
    17,326/26,000.52 = 6,382/x
  3. Step 3: Cross multiply
    17,326x = 26,000.52 × 6,382
  4. Step 4: Simplify right side
    17,326x = 165,935,318.64
  5. Step 5: Solve for x
    x = 165,935,318.64/17,326
  6. Step 6: Final answer
    x = 9,577.24

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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.