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Finding the Fourth Proportional to 43,514.64, 65,271.84 and 12,349.92

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Solution

The fourth proportional to 43,514.64, 65,271.84 and 12,349.92 is: 18,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,514.64 : 65,271.84 = 12,349.92 : x
  2. Step 2: Convert to fraction form
    43,514.64/65,271.84 = 12,349.92/x
  3. Step 3: Cross multiply
    43,514.64x = 65,271.84 × 12,349.92
  4. Step 4: Simplify right side
    43,514.64x = 806,102,002.25
  5. Step 5: Solve for x
    x = 806,102,002.25/43,514.64
  6. Step 6: Final answer
    x = 18,524.85

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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.