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Finding the Fourth Proportional to 12,416.93, 18,614.91 and 5,391.64

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Solution

The fourth proportional to 12,416.93, 18,614.91 and 5,391.64 is: 8,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.93 : 18,614.91 = 5,391.64 : x
  2. Step 2: Convert to fraction form
    12,416.93/18,614.91 = 5,391.64/x
  3. Step 3: Cross multiply
    12,416.93x = 18,614.91 × 5,391.64
  4. Step 4: Simplify right side
    12,416.93x = 100,364,893.35
  5. Step 5: Solve for x
    x = 100,364,893.35/12,416.93
  6. Step 6: Final answer
    x = 8,082.91

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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.