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Finding the Fourth Proportional to 27,677.63, 38,194.92 and 15,740.96

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Solution

The fourth proportional to 27,677.63, 38,194.92 and 15,740.96 is: 21,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.63 : 38,194.92 = 15,740.96 : x
  2. Step 2: Convert to fraction form
    27,677.63/38,194.92 = 15,740.96/x
  3. Step 3: Cross multiply
    27,677.63x = 38,194.92 × 15,740.96
  4. Step 4: Simplify right side
    27,677.63x = 601,224,516.95
  5. Step 5: Solve for x
    x = 601,224,516.95/27,677.63
  6. Step 6: Final answer
    x = 21,722.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.