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Finding the Fourth Proportional to 16,142.60, 24,209.10 and 6,276.20

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Solution

The fourth proportional to 16,142.60, 24,209.10 and 6,276.20 is: 9,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.60 : 24,209.10 = 6,276.20 : x
  2. Step 2: Convert to fraction form
    16,142.60/24,209.10 = 6,276.20/x
  3. Step 3: Cross multiply
    16,142.60x = 24,209.10 × 6,276.20
  4. Step 4: Simplify right side
    16,142.60x = 151,941,153.42
  5. Step 5: Solve for x
    x = 151,941,153.42/16,142.60
  6. Step 6: Final answer
    x = 9,412.43

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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.