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Finding the Fourth Proportional to 17,504.66, 26,266.97 and 6,409.88

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Solution

The fourth proportional to 17,504.66, 26,266.97 and 6,409.88 is: 9,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504.66 : 26,266.97 = 6,409.88 : x
  2. Step 2: Convert to fraction form
    17,504.66/26,266.97 = 6,409.88/x
  3. Step 3: Cross multiply
    17,504.66x = 26,266.97 × 6,409.88
  4. Step 4: Simplify right side
    17,504.66x = 168,368,010.35
  5. Step 5: Solve for x
    x = 168,368,010.35/17,504.66
  6. Step 6: Final answer
    x = 9,618.47

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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.