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Finding the Fourth Proportional to 20,432.74, 30,642 and 7,283.20

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Solution

The fourth proportional to 20,432.74, 30,642 and 7,283.20 is: 10,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432.74 : 30,642 = 7,283.20 : x
  2. Step 2: Convert to fraction form
    20,432.74/30,642 = 7,283.20/x
  3. Step 3: Cross multiply
    20,432.74x = 30,642 × 7,283.20
  4. Step 4: Simplify right side
    20,432.74x = 223,171,814.40
  5. Step 5: Solve for x
    x = 223,171,814.40/20,432.74
  6. Step 6: Final answer
    x = 10,922.27

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