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Finding the Fourth Proportional to 39,816.72, 59,733.72 and 12,114

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Solution

The fourth proportional to 39,816.72, 59,733.72 and 12,114 is: 18,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,816.72 : 59,733.72 = 12,114 : x
  2. Step 2: Convert to fraction form
    39,816.72/59,733.72 = 12,114/x
  3. Step 3: Cross multiply
    39,816.72x = 59,733.72 × 12,114
  4. Step 4: Simplify right side
    39,816.72x = 723,614,284.08
  5. Step 5: Solve for x
    x = 723,614,284.08/39,816.72
  6. Step 6: Final answer
    x = 18,173.63

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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.