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Finding the Fourth Proportional to 27,412.22, 37,828.92 and 14,836.97

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Solution

The fourth proportional to 27,412.22, 37,828.92 and 14,836.97 is: 20,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.22 : 37,828.92 = 14,836.97 : x
  2. Step 2: Convert to fraction form
    27,412.22/37,828.92 = 14,836.97/x
  3. Step 3: Cross multiply
    27,412.22x = 37,828.92 × 14,836.97
  4. Step 4: Simplify right side
    27,412.22x = 561,266,701.38
  5. Step 5: Solve for x
    x = 561,266,701.38/27,412.22
  6. Step 6: Final answer
    x = 20,475.05

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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.