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Finding the Fourth Proportional to 23,146.88, 34,676.80 and 11,446.40

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Solution

The fourth proportional to 23,146.88, 34,676.80 and 11,446.40 is: 17,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.88 : 34,676.80 = 11,446.40 : x
  2. Step 2: Convert to fraction form
    23,146.88/34,676.80 = 11,446.40/x
  3. Step 3: Cross multiply
    23,146.88x = 34,676.80 × 11,446.40
  4. Step 4: Simplify right side
    23,146.88x = 396,924,523.52
  5. Step 5: Solve for x
    x = 396,924,523.52/23,146.88
  6. Step 6: Final answer
    x = 17,148.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.