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Finding the Fourth Proportional to 23,045.14, 34,567.83 and 8,052.20

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Solution

The fourth proportional to 23,045.14, 34,567.83 and 8,052.20 is: 12,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.14 : 34,567.83 = 8,052.20 : x
  2. Step 2: Convert to fraction form
    23,045.14/34,567.83 = 8,052.20/x
  3. Step 3: Cross multiply
    23,045.14x = 34,567.83 × 8,052.20
  4. Step 4: Simplify right side
    23,045.14x = 278,347,080.73
  5. Step 5: Solve for x
    x = 278,347,080.73/23,045.14
  6. Step 6: Final answer
    x = 12,078.34

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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.