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Finding the Fourth Proportional to 20,152.96, 30,236.16 and 7,008.64

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Solution

The fourth proportional to 20,152.96, 30,236.16 and 7,008.64 is: 10,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.96 : 30,236.16 = 7,008.64 : x
  2. Step 2: Convert to fraction form
    20,152.96/30,236.16 = 7,008.64/x
  3. Step 3: Cross multiply
    20,152.96x = 30,236.16 × 7,008.64
  4. Step 4: Simplify right side
    20,152.96x = 211,914,360.42
  5. Step 5: Solve for x
    x = 211,914,360.42/20,152.96
  6. Step 6: Final answer
    x = 10,515.30

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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.