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Finding the Fourth Proportional to 16,208.68, 24,295.20 and 6,346.12

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Solution

The fourth proportional to 16,208.68, 24,295.20 and 6,346.12 is: 9,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.68 : 24,295.20 = 6,346.12 : x
  2. Step 2: Convert to fraction form
    16,208.68/24,295.20 = 6,346.12/x
  3. Step 3: Cross multiply
    16,208.68x = 24,295.20 × 6,346.12
  4. Step 4: Simplify right side
    16,208.68x = 154,180,254.62
  5. Step 5: Solve for x
    x = 154,180,254.62/16,208.68
  6. Step 6: Final answer
    x = 9,512.20

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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.