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Finding the Fourth Proportional to 11,752.65, 17,733.67 and 11,296.98

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Solution

The fourth proportional to 11,752.65, 17,733.67 and 11,296.98 is: 17,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.65 : 17,733.67 = 11,296.98 : x
  2. Step 2: Convert to fraction form
    11,752.65/17,733.67 = 11,296.98/x
  3. Step 3: Cross multiply
    11,752.65x = 17,733.67 × 11,296.98
  4. Step 4: Simplify right side
    11,752.65x = 200,336,887.07
  5. Step 5: Solve for x
    x = 200,336,887.07/11,752.65
  6. Step 6: Final answer
    x = 17,046.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.