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Finding the Fourth Proportional to 23,812.32, 32,861.16 and 13,202.64

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Solution

The fourth proportional to 23,812.32, 32,861.16 and 13,202.64 is: 18,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.32 : 32,861.16 = 13,202.64 : x
  2. Step 2: Convert to fraction form
    23,812.32/32,861.16 = 13,202.64/x
  3. Step 3: Cross multiply
    23,812.32x = 32,861.16 × 13,202.64
  4. Step 4: Simplify right side
    23,812.32x = 433,854,065.46
  5. Step 5: Solve for x
    x = 433,854,065.46/23,812.32
  6. Step 6: Final answer
    x = 18,219.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.