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Finding the Fourth Proportional to 16,122.64, 24,173.32 and 7,786.16

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Solution

The fourth proportional to 16,122.64, 24,173.32 and 7,786.16 is: 11,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.64 : 24,173.32 = 7,786.16 : x
  2. Step 2: Convert to fraction form
    16,122.64/24,173.32 = 7,786.16/x
  3. Step 3: Cross multiply
    16,122.64x = 24,173.32 × 7,786.16
  4. Step 4: Simplify right side
    16,122.64x = 188,217,337.25
  5. Step 5: Solve for x
    x = 188,217,337.25/16,122.64
  6. Step 6: Final answer
    x = 11,674.10

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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.