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Finding the Fourth Proportional to 27,202.09, 40,770.32 and 14,047.27

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Solution

The fourth proportional to 27,202.09, 40,770.32 and 14,047.27 is: 21,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.09 : 40,770.32 = 14,047.27 : x
  2. Step 2: Convert to fraction form
    27,202.09/40,770.32 = 14,047.27/x
  3. Step 3: Cross multiply
    27,202.09x = 40,770.32 × 14,047.27
  4. Step 4: Simplify right side
    27,202.09x = 572,711,622.79
  5. Step 5: Solve for x
    x = 572,711,622.79/27,202.09
  6. Step 6: Final answer
    x = 21,053.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.