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Finding the Fourth Proportional to 23,258.60, 32,097.13 and 13,189.22

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Solution

The fourth proportional to 23,258.60, 32,097.13 and 13,189.22 is: 18,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.60 : 32,097.13 = 13,189.22 : x
  2. Step 2: Convert to fraction form
    23,258.60/32,097.13 = 13,189.22/x
  3. Step 3: Cross multiply
    23,258.60x = 32,097.13 × 13,189.22
  4. Step 4: Simplify right side
    23,258.60x = 423,335,915.48
  5. Step 5: Solve for x
    x = 423,335,915.48/23,258.60
  6. Step 6: Final answer
    x = 18,201.27

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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.