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Finding the Fourth Proportional to 27,666.37, 38,179.79 and 15,729

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Solution

The fourth proportional to 27,666.37, 38,179.79 and 15,729 is: 21,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.37 : 38,179.79 = 15,729 : x
  2. Step 2: Convert to fraction form
    27,666.37/38,179.79 = 15,729/x
  3. Step 3: Cross multiply
    27,666.37x = 38,179.79 × 15,729
  4. Step 4: Simplify right side
    27,666.37x = 600,529,916.91
  5. Step 5: Solve for x
    x = 600,529,916.91/27,666.37
  6. Step 6: Final answer
    x = 21,706.13

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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.