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Finding the Fourth Proportional to 23,841, 32,900.67 and 13,232.16

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Solution

The fourth proportional to 23,841, 32,900.67 and 13,232.16 is: 18,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841 : 32,900.67 = 13,232.16 : x
  2. Step 2: Convert to fraction form
    23,841/32,900.67 = 13,232.16/x
  3. Step 3: Cross multiply
    23,841x = 32,900.67 × 13,232.16
  4. Step 4: Simplify right side
    23,841x = 435,346,929.55
  5. Step 5: Solve for x
    x = 435,346,929.55/23,841
  6. Step 6: Final answer
    x = 18,260.43

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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.