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Finding the Fourth Proportional to 27,404, 37,817.52 and 14,828.84

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Solution

The fourth proportional to 27,404, 37,817.52 and 14,828.84 is: 20,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404 : 37,817.52 = 14,828.84 : x
  2. Step 2: Convert to fraction form
    27,404/37,817.52 = 14,828.84/x
  3. Step 3: Cross multiply
    27,404x = 37,817.52 × 14,828.84
  4. Step 4: Simplify right side
    27,404x = 560,789,953.28
  5. Step 5: Solve for x
    x = 560,789,953.28/27,404
  6. Step 6: Final answer
    x = 20,463.80

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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.