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Finding the Fourth Proportional to 27,707.43, 41,570.00 and 9,926.09

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Solution

The fourth proportional to 27,707.43, 41,570.00 and 9,926.09 is: 14,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.43 : 41,570.00 = 9,926.09 : x
  2. Step 2: Convert to fraction form
    27,707.43/41,570.00 = 9,926.09/x
  3. Step 3: Cross multiply
    27,707.43x = 41,570.00 × 9,926.09
  4. Step 4: Simplify right side
    27,707.43x = 412,627,552.76
  5. Step 5: Solve for x
    x = 412,627,552.76/27,707.43
  6. Step 6: Final answer
    x = 14,892.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.