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Finding the Fourth Proportional to 20,416.40, 30,624.72 and 7,269.28

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Solution

The fourth proportional to 20,416.40, 30,624.72 and 7,269.28 is: 10,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.40 : 30,624.72 = 7,269.28 : x
  2. Step 2: Convert to fraction form
    20,416.40/30,624.72 = 7,269.28/x
  3. Step 3: Cross multiply
    20,416.40x = 30,624.72 × 7,269.28
  4. Step 4: Simplify right side
    20,416.40x = 222,619,664.60
  5. Step 5: Solve for x
    x = 222,619,664.60/20,416.40
  6. Step 6: Final answer
    x = 10,903.96

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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.