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Finding the Fourth Proportional to 23,846.34, 32,902.02 and 13,233.32

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Solution

The fourth proportional to 23,846.34, 32,902.02 and 13,233.32 is: 18,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.34 : 32,902.02 = 13,233.32 : x
  2. Step 2: Convert to fraction form
    23,846.34/32,902.02 = 13,233.32/x
  3. Step 3: Cross multiply
    23,846.34x = 32,902.02 × 13,233.32
  4. Step 4: Simplify right side
    23,846.34x = 435,402,794.80
  5. Step 5: Solve for x
    x = 435,402,794.80/23,846.34
  6. Step 6: Final answer
    x = 18,258.68

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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.