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Finding the Fourth Proportional to 16,101.90, 24,152.85 and 8,228.70

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Solution

The fourth proportional to 16,101.90, 24,152.85 and 8,228.70 is: 12,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.90 : 24,152.85 = 8,228.70 : x
  2. Step 2: Convert to fraction form
    16,101.90/24,152.85 = 8,228.70/x
  3. Step 3: Cross multiply
    16,101.90x = 24,152.85 × 8,228.70
  4. Step 4: Simplify right side
    16,101.90x = 198,746,556.80
  5. Step 5: Solve for x
    x = 198,746,556.80/16,101.90
  6. Step 6: Final answer
    x = 12,343.05

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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.