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Finding the Fourth Proportional to 27,457.39, 37,891.17 and 14,882.14

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Solution

The fourth proportional to 27,457.39, 37,891.17 and 14,882.14 is: 20,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.39 : 37,891.17 = 14,882.14 : x
  2. Step 2: Convert to fraction form
    27,457.39/37,891.17 = 14,882.14/x
  3. Step 3: Cross multiply
    27,457.39x = 37,891.17 × 14,882.14
  4. Step 4: Simplify right side
    27,457.39x = 563,901,696.70
  5. Step 5: Solve for x
    x = 563,901,696.70/27,457.39
  6. Step 6: Final answer
    x = 20,537.34

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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.