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Finding the Fourth Proportional to 23,258.42, 32,097.46 and 13,324.34

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Solution

The fourth proportional to 23,258.42, 32,097.46 and 13,324.34 is: 18,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.42 : 32,097.46 = 13,324.34 : x
  2. Step 2: Convert to fraction form
    23,258.42/32,097.46 = 13,324.34/x
  3. Step 3: Cross multiply
    23,258.42x = 32,097.46 × 13,324.34
  4. Step 4: Simplify right side
    23,258.42x = 427,677,276.38
  5. Step 5: Solve for x
    x = 427,677,276.38/23,258.42
  6. Step 6: Final answer
    x = 18,388.07

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Why These Related Problems?

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