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Finding the Fourth Proportional to 27,608.80, 38,100.14 and 15,509.30

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Solution

The fourth proportional to 27,608.80, 38,100.14 and 15,509.30 is: 21,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.80 : 38,100.14 = 15,509.30 : x
  2. Step 2: Convert to fraction form
    27,608.80/38,100.14 = 15,509.30/x
  3. Step 3: Cross multiply
    27,608.80x = 38,100.14 × 15,509.30
  4. Step 4: Simplify right side
    27,608.80x = 590,906,501.30
  5. Step 5: Solve for x
    x = 590,906,501.30/27,608.80
  6. Step 6: Final answer
    x = 21,402.83

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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.