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Finding the Fourth Proportional to 23,258.10, 32,097.03 and 13,324.02

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Solution

The fourth proportional to 23,258.10, 32,097.03 and 13,324.02 is: 18,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.10 : 32,097.03 = 13,324.02 : x
  2. Step 2: Convert to fraction form
    23,258.10/32,097.03 = 13,324.02/x
  3. Step 3: Cross multiply
    23,258.10x = 32,097.03 × 13,324.02
  4. Step 4: Simplify right side
    23,258.10x = 427,661,516.59
  5. Step 5: Solve for x
    x = 427,661,516.59/23,258.10
  6. Step 6: Final answer
    x = 18,387.64

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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.