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Finding the Fourth Proportional to 16,265.96, 24,388.68 and 5,730.20

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Solution

The fourth proportional to 16,265.96, 24,388.68 and 5,730.20 is: 8,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.96 : 24,388.68 = 5,730.20 : x
  2. Step 2: Convert to fraction form
    16,265.96/24,388.68 = 5,730.20/x
  3. Step 3: Cross multiply
    16,265.96x = 24,388.68 × 5,730.20
  4. Step 4: Simplify right side
    16,265.96x = 139,752,014.14
  5. Step 5: Solve for x
    x = 139,752,014.14/16,265.96
  6. Step 6: Final answer
    x = 8,591.69

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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.