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Finding the Fourth Proportional to 27,292.96, 37,664.12 and 15,356.38

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Solution

The fourth proportional to 27,292.96, 37,664.12 and 15,356.38 is: 21,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292.96 : 37,664.12 = 15,356.38 : x
  2. Step 2: Convert to fraction form
    27,292.96/37,664.12 = 15,356.38/x
  3. Step 3: Cross multiply
    27,292.96x = 37,664.12 × 15,356.38
  4. Step 4: Simplify right side
    27,292.96x = 578,384,539.09
  5. Step 5: Solve for x
    x = 578,384,539.09/27,292.96
  6. Step 6: Final answer
    x = 21,191.71

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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.