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Finding the Fourth Proportional to 27,446.14, 37,853.13 and 16,828.30

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Solution

The fourth proportional to 27,446.14, 37,853.13 and 16,828.30 is: 23,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.14 : 37,853.13 = 16,828.30 : x
  2. Step 2: Convert to fraction form
    27,446.14/37,853.13 = 16,828.30/x
  3. Step 3: Cross multiply
    27,446.14x = 37,853.13 × 16,828.30
  4. Step 4: Simplify right side
    27,446.14x = 637,003,827.58
  5. Step 5: Solve for x
    x = 637,003,827.58/27,446.14
  6. Step 6: Final answer
    x = 23,209.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.