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Finding the Fourth Proportional to 23,007.60, 34,511.40 and 13,676.40

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Solution

The fourth proportional to 23,007.60, 34,511.40 and 13,676.40 is: 20,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.60 : 34,511.40 = 13,676.40 : x
  2. Step 2: Convert to fraction form
    23,007.60/34,511.40 = 13,676.40/x
  3. Step 3: Cross multiply
    23,007.60x = 34,511.40 × 13,676.40
  4. Step 4: Simplify right side
    23,007.60x = 471,991,710.96
  5. Step 5: Solve for x
    x = 471,991,710.96/23,007.60
  6. Step 6: Final answer
    x = 20,514.60

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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.