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Finding the Fourth Proportional to 16,276.98, 24,416.49 and 6,286.49

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Solution

The fourth proportional to 16,276.98, 24,416.49 and 6,286.49 is: 9,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.98 : 24,416.49 = 6,286.49 : x
  2. Step 2: Convert to fraction form
    16,276.98/24,416.49 = 6,286.49/x
  3. Step 3: Cross multiply
    16,276.98x = 24,416.49 × 6,286.49
  4. Step 4: Simplify right side
    16,276.98x = 153,493,909.24
  5. Step 5: Solve for x
    x = 153,493,909.24/16,276.98
  6. Step 6: Final answer
    x = 9,430.12

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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.