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Finding the Fourth Proportional to 16,416.40, 24,626.31 and 5,322.64

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Solution

The fourth proportional to 16,416.40, 24,626.31 and 5,322.64 is: 7,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.40 : 24,626.31 = 5,322.64 : x
  2. Step 2: Convert to fraction form
    16,416.40/24,626.31 = 5,322.64/x
  3. Step 3: Cross multiply
    16,416.40x = 24,626.31 × 5,322.64
  4. Step 4: Simplify right side
    16,416.40x = 131,076,982.66
  5. Step 5: Solve for x
    x = 131,076,982.66/16,416.40
  6. Step 6: Final answer
    x = 7,984.51

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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.