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Finding the Fourth Proportional to 8,199.70, 12,298.23 and 2,354.98

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Solution

The fourth proportional to 8,199.70, 12,298.23 and 2,354.98 is: 3,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.70 : 12,298.23 = 2,354.98 : x
  2. Step 2: Convert to fraction form
    8,199.70/12,298.23 = 2,354.98/x
  3. Step 3: Cross multiply
    8,199.70x = 12,298.23 × 2,354.98
  4. Step 4: Simplify right side
    8,199.70x = 28,962,085.69
  5. Step 5: Solve for x
    x = 28,962,085.69/8,199.70
  6. Step 6: Final answer
    x = 3,532.09

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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.