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Finding the Fourth Proportional to 39,896.16, 59,887.98 and 16,539

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Solution

The fourth proportional to 39,896.16, 59,887.98 and 16,539 is: 24,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,896.16 : 59,887.98 = 16,539 : x
  2. Step 2: Convert to fraction form
    39,896.16/59,887.98 = 16,539/x
  3. Step 3: Cross multiply
    39,896.16x = 59,887.98 × 16,539
  4. Step 4: Simplify right side
    39,896.16x = 990,487,301.22
  5. Step 5: Solve for x
    x = 990,487,301.22/39,896.16
  6. Step 6: Final answer
    x = 24,826.63

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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.