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Finding the Fourth Proportional to 20,172.48, 30,227.88 and 13,574.16

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Solution

The fourth proportional to 20,172.48, 30,227.88 and 13,574.16 is: 20,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.48 : 30,227.88 = 13,574.16 : x
  2. Step 2: Convert to fraction form
    20,172.48/30,227.88 = 13,574.16/x
  3. Step 3: Cross multiply
    20,172.48x = 30,227.88 × 13,574.16
  4. Step 4: Simplify right side
    20,172.48x = 410,318,079.58
  5. Step 5: Solve for x
    x = 410,318,079.58/20,172.48
  6. Step 6: Final answer
    x = 20,340.49

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Why These Related Problems?

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