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Finding the Fourth Proportional to 27,071.36, 37,324.22 and 17,495.13

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Solution

The fourth proportional to 27,071.36, 37,324.22 and 17,495.13 is: 24,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071.36 : 37,324.22 = 17,495.13 : x
  2. Step 2: Convert to fraction form
    27,071.36/37,324.22 = 17,495.13/x
  3. Step 3: Cross multiply
    27,071.36x = 37,324.22 × 17,495.13
  4. Step 4: Simplify right side
    27,071.36x = 652,991,993.57
  5. Step 5: Solve for x
    x = 652,991,993.57/27,071.36
  6. Step 6: Final answer
    x = 24,121.14

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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.