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Finding the Fourth Proportional to 43,683.18, 65,534.49 and 12,516

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Solution

The fourth proportional to 43,683.18, 65,534.49 and 12,516 is: 18,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.18 : 65,534.49 = 12,516 : x
  2. Step 2: Convert to fraction form
    43,683.18/65,534.49 = 12,516/x
  3. Step 3: Cross multiply
    43,683.18x = 65,534.49 × 12,516
  4. Step 4: Simplify right side
    43,683.18x = 820,229,676.84
  5. Step 5: Solve for x
    x = 820,229,676.84/43,683.18
  6. Step 6: Final answer
    x = 18,776.78

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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.