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Finding the Fourth Proportional to 23,258.64, 32,096.80 and 13,189

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Solution

The fourth proportional to 23,258.64, 32,096.80 and 13,189 is: 18,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.64 : 32,096.80 = 13,189 : x
  2. Step 2: Convert to fraction form
    23,258.64/32,096.80 = 13,189/x
  3. Step 3: Cross multiply
    23,258.64x = 32,096.80 × 13,189
  4. Step 4: Simplify right side
    23,258.64x = 423,324,695.20
  5. Step 5: Solve for x
    x = 423,324,695.20/23,258.64
  6. Step 6: Final answer
    x = 18,200.75

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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.