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Finding the Fourth Proportional to 23,258.67, 32,097.80 and 13,324.59

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Solution

The fourth proportional to 23,258.67, 32,097.80 and 13,324.59 is: 18,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.67 : 32,097.80 = 13,324.59 : x
  2. Step 2: Convert to fraction form
    23,258.67/32,097.80 = 13,324.59/x
  3. Step 3: Cross multiply
    23,258.67x = 32,097.80 × 13,324.59
  4. Step 4: Simplify right side
    23,258.67x = 427,690,024.90
  5. Step 5: Solve for x
    x = 427,690,024.90/23,258.67
  6. Step 6: Final answer
    x = 18,388.41

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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.