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Finding the Fourth Proportional to 12,532.80, 18,793.68 and 6,290.40

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Solution

The fourth proportional to 12,532.80, 18,793.68 and 6,290.40 is: 9,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.80 : 18,793.68 = 6,290.40 : x
  2. Step 2: Convert to fraction form
    12,532.80/18,793.68 = 6,290.40/x
  3. Step 3: Cross multiply
    12,532.80x = 18,793.68 × 6,290.40
  4. Step 4: Simplify right side
    12,532.80x = 118,219,764.67
  5. Step 5: Solve for x
    x = 118,219,764.67/12,532.80
  6. Step 6: Final answer
    x = 9,432.83

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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.