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Finding the Fourth Proportional to 27,214.65, 37,553.63 and 15,275.25

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Solution

The fourth proportional to 27,214.65, 37,553.63 and 15,275.25 is: 21,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.65 : 37,553.63 = 15,275.25 : x
  2. Step 2: Convert to fraction form
    27,214.65/37,553.63 = 15,275.25/x
  3. Step 3: Cross multiply
    27,214.65x = 37,553.63 × 15,275.25
  4. Step 4: Simplify right side
    27,214.65x = 573,641,010.28
  5. Step 5: Solve for x
    x = 573,641,010.28/27,214.65
  6. Step 6: Final answer
    x = 21,078.39

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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.