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Finding the Fourth Proportional to 43,580.94, 65,372.32 and 12,416.19

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Solution

The fourth proportional to 43,580.94, 65,372.32 and 12,416.19 is: 18,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,580.94 : 65,372.32 = 12,416.19 : x
  2. Step 2: Convert to fraction form
    43,580.94/65,372.32 = 12,416.19/x
  3. Step 3: Cross multiply
    43,580.94x = 65,372.32 × 12,416.19
  4. Step 4: Simplify right side
    43,580.94x = 811,675,145.86
  5. Step 5: Solve for x
    x = 811,675,145.86/43,580.94
  6. Step 6: Final answer
    x = 18,624.54

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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.