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Finding the Fourth Proportional to 20,253.30, 30,361.46 and 7,098.50

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Solution

The fourth proportional to 20,253.30, 30,361.46 and 7,098.50 is: 10,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.30 : 30,361.46 = 7,098.50 : x
  2. Step 2: Convert to fraction form
    20,253.30/30,361.46 = 7,098.50/x
  3. Step 3: Cross multiply
    20,253.30x = 30,361.46 × 7,098.50
  4. Step 4: Simplify right side
    20,253.30x = 215,520,823.81
  5. Step 5: Solve for x
    x = 215,520,823.81/20,253.30
  6. Step 6: Final answer
    x = 10,641.27

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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.