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Finding the Fourth Proportional to 20,445.42, 30,674.61 and 7,297.50

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Solution

The fourth proportional to 20,445.42, 30,674.61 and 7,297.50 is: 10,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445.42 : 30,674.61 = 7,297.50 : x
  2. Step 2: Convert to fraction form
    20,445.42/30,674.61 = 7,297.50/x
  3. Step 3: Cross multiply
    20,445.42x = 30,674.61 × 7,297.50
  4. Step 4: Simplify right side
    20,445.42x = 223,847,966.48
  5. Step 5: Solve for x
    x = 223,847,966.48/20,445.42
  6. Step 6: Final answer
    x = 10,948.56

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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.