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Finding the Fourth Proportional to 23,205.80, 34,808.70 and 5,675.40

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Solution

The fourth proportional to 23,205.80, 34,808.70 and 5,675.40 is: 8,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.80 : 34,808.70 = 5,675.40 : x
  2. Step 2: Convert to fraction form
    23,205.80/34,808.70 = 5,675.40/x
  3. Step 3: Cross multiply
    23,205.80x = 34,808.70 × 5,675.40
  4. Step 4: Simplify right side
    23,205.80x = 197,553,295.98
  5. Step 5: Solve for x
    x = 197,553,295.98/23,205.80
  6. Step 6: Final answer
    x = 8,513.10

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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.