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Finding the Fourth Proportional to 19,627.38, 27,083.16 and 11,666.70

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Solution

The fourth proportional to 19,627.38, 27,083.16 and 11,666.70 is: 16,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.38 : 27,083.16 = 11,666.70 : x
  2. Step 2: Convert to fraction form
    19,627.38/27,083.16 = 11,666.70/x
  3. Step 3: Cross multiply
    19,627.38x = 27,083.16 × 11,666.70
  4. Step 4: Simplify right side
    19,627.38x = 315,971,102.77
  5. Step 5: Solve for x
    x = 315,971,102.77/19,627.38
  6. Step 6: Final answer
    x = 16,098.49

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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.