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Finding the Fourth Proportional to 17,541, 26,321.87 and 6,455.47

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Solution

The fourth proportional to 17,541, 26,321.87 and 6,455.47 is: 9,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541 : 26,321.87 = 6,455.47 : x
  2. Step 2: Convert to fraction form
    17,541/26,321.87 = 6,455.47/x
  3. Step 3: Cross multiply
    17,541x = 26,321.87 × 6,455.47
  4. Step 4: Simplify right side
    17,541x = 169,920,042.13
  5. Step 5: Solve for x
    x = 169,920,042.13/17,541
  6. Step 6: Final answer
    x = 9,687.02

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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.