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Finding the Fourth Proportional to 16,220.34, 24,340.08 and 6,859.80

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Solution

The fourth proportional to 16,220.34, 24,340.08 and 6,859.80 is: 10,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.34 : 24,340.08 = 6,859.80 : x
  2. Step 2: Convert to fraction form
    16,220.34/24,340.08 = 6,859.80/x
  3. Step 3: Cross multiply
    16,220.34x = 24,340.08 × 6,859.80
  4. Step 4: Simplify right side
    16,220.34x = 166,968,080.78
  5. Step 5: Solve for x
    x = 166,968,080.78/16,220.34
  6. Step 6: Final answer
    x = 10,293.75

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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.