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Finding the Fourth Proportional to 20,706.44, 28,574.16 and 11,274.80

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Solution

The fourth proportional to 20,706.44, 28,574.16 and 11,274.80 is: 15,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.44 : 28,574.16 = 11,274.80 : x
  2. Step 2: Convert to fraction form
    20,706.44/28,574.16 = 11,274.80/x
  3. Step 3: Cross multiply
    20,706.44x = 28,574.16 × 11,274.80
  4. Step 4: Simplify right side
    20,706.44x = 322,167,939.17
  5. Step 5: Solve for x
    x = 322,167,939.17/20,706.44
  6. Step 6: Final answer
    x = 15,558.83

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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.