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Finding the Fourth Proportional to 19,817.38, 27,347.98 and 11,433.88

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Solution

The fourth proportional to 19,817.38, 27,347.98 and 11,433.88 is: 15,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.38 : 27,347.98 = 11,433.88 : x
  2. Step 2: Convert to fraction form
    19,817.38/27,347.98 = 11,433.88/x
  3. Step 3: Cross multiply
    19,817.38x = 27,347.98 × 11,433.88
  4. Step 4: Simplify right side
    19,817.38x = 312,693,384.82
  5. Step 5: Solve for x
    x = 312,693,384.82/19,817.38
  6. Step 6: Final answer
    x = 15,778.75

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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.