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Finding the Fourth Proportional to 20,048.96, 27,669.04 and 11,096.80

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Solution

The fourth proportional to 20,048.96, 27,669.04 and 11,096.80 is: 15,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.96 : 27,669.04 = 11,096.80 : x
  2. Step 2: Convert to fraction form
    20,048.96/27,669.04 = 11,096.80/x
  3. Step 3: Cross multiply
    20,048.96x = 27,669.04 × 11,096.80
  4. Step 4: Simplify right side
    20,048.96x = 307,037,803.07
  5. Step 5: Solve for x
    x = 307,037,803.07/20,048.96
  6. Step 6: Final answer
    x = 15,314.40

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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.