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Finding the Fourth Proportional to 27,641.64, 38,146.35 and 15,704.26

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Solution

The fourth proportional to 27,641.64, 38,146.35 and 15,704.26 is: 21,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.64 : 38,146.35 = 15,704.26 : x
  2. Step 2: Convert to fraction form
    27,641.64/38,146.35 = 15,704.26/x
  3. Step 3: Cross multiply
    27,641.64x = 38,146.35 × 15,704.26
  4. Step 4: Simplify right side
    27,641.64x = 599,060,198.45
  5. Step 5: Solve for x
    x = 599,060,198.45/27,641.64
  6. Step 6: Final answer
    x = 21,672.38

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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.