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Finding the Fourth Proportional to 24,847.90, 37,263.95 and 8,204.83

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Solution

The fourth proportional to 24,847.90, 37,263.95 and 8,204.83 is: 12,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.90 : 37,263.95 = 8,204.83 : x
  2. Step 2: Convert to fraction form
    24,847.90/37,263.95 = 8,204.83/x
  3. Step 3: Cross multiply
    24,847.90x = 37,263.95 × 8,204.83
  4. Step 4: Simplify right side
    24,847.90x = 305,744,271.46
  5. Step 5: Solve for x
    x = 305,744,271.46/24,847.90
  6. Step 6: Final answer
    x = 12,304.63

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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.