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Finding the Fourth Proportional to 16,200.90, 24,282.15 and 8,405.70

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Solution

The fourth proportional to 16,200.90, 24,282.15 and 8,405.70 is: 12,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.90 : 24,282.15 = 8,405.70 : x
  2. Step 2: Convert to fraction form
    16,200.90/24,282.15 = 8,405.70/x
  3. Step 3: Cross multiply
    16,200.90x = 24,282.15 × 8,405.70
  4. Step 4: Simplify right side
    16,200.90x = 204,108,468.26
  5. Step 5: Solve for x
    x = 204,108,468.26/16,200.90
  6. Step 6: Final answer
    x = 12,598.59

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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.