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Finding the Fourth Proportional to 17,257, 23,814.66 and 9,805

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Solution

The fourth proportional to 17,257, 23,814.66 and 9,805 is: 13,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257 : 23,814.66 = 9,805 : x
  2. Step 2: Convert to fraction form
    17,257/23,814.66 = 9,805/x
  3. Step 3: Cross multiply
    17,257x = 23,814.66 × 9,805
  4. Step 4: Simplify right side
    17,257x = 233,502,741.30
  5. Step 5: Solve for x
    x = 233,502,741.30/17,257
  6. Step 6: Final answer
    x = 13,530.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.