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Finding the Fourth Proportional to 20,053.50, 27,674.48 and 11,554.96

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Solution

The fourth proportional to 20,053.50, 27,674.48 and 11,554.96 is: 15,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.50 : 27,674.48 = 11,554.96 : x
  2. Step 2: Convert to fraction form
    20,053.50/27,674.48 = 11,554.96/x
  3. Step 3: Cross multiply
    20,053.50x = 27,674.48 × 11,554.96
  4. Step 4: Simplify right side
    20,053.50x = 319,777,509.42
  5. Step 5: Solve for x
    x = 319,777,509.42/20,053.50
  6. Step 6: Final answer
    x = 15,946.22

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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.