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Finding the Fourth Proportional to 23,908.20, 32,991 and 13,834.64

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Solution

The fourth proportional to 23,908.20, 32,991 and 13,834.64 is: 19,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.20 : 32,991 = 13,834.64 : x
  2. Step 2: Convert to fraction form
    23,908.20/32,991 = 13,834.64/x
  3. Step 3: Cross multiply
    23,908.20x = 32,991 × 13,834.64
  4. Step 4: Simplify right side
    23,908.20x = 456,418,443.29
  5. Step 5: Solve for x
    x = 456,418,443.29/23,908.20
  6. Step 6: Final answer
    x = 19,090.46

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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.