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Finding the Fourth Proportional to 27,477.38, 37,924.46 and 15,541.22

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Solution

The fourth proportional to 27,477.38, 37,924.46 and 15,541.22 is: 21,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.38 : 37,924.46 = 15,541.22 : x
  2. Step 2: Convert to fraction form
    27,477.38/37,924.46 = 15,541.22/x
  3. Step 3: Cross multiply
    27,477.38x = 37,924.46 × 15,541.22
  4. Step 4: Simplify right side
    27,477.38x = 589,392,108.91
  5. Step 5: Solve for x
    x = 589,392,108.91/27,477.38
  6. Step 6: Final answer
    x = 21,450.09

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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.