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Finding the Fourth Proportional to 16,118.64, 24,167.32 and 7,782.16

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Solution

The fourth proportional to 16,118.64, 24,167.32 and 7,782.16 is: 11,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118.64 : 24,167.32 = 7,782.16 : x
  2. Step 2: Convert to fraction form
    16,118.64/24,167.32 = 7,782.16/x
  3. Step 3: Cross multiply
    16,118.64x = 24,167.32 × 7,782.16
  4. Step 4: Simplify right side
    16,118.64x = 188,073,951.01
  5. Step 5: Solve for x
    x = 188,073,951.01/16,118.64
  6. Step 6: Final answer
    x = 11,668.10

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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.