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Finding the Fourth Proportional to 39,620.16, 59,438.88 and 11,916

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Solution

The fourth proportional to 39,620.16, 59,438.88 and 11,916 is: 17,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,620.16 : 59,438.88 = 11,916 : x
  2. Step 2: Convert to fraction form
    39,620.16/59,438.88 = 11,916/x
  3. Step 3: Cross multiply
    39,620.16x = 59,438.88 × 11,916
  4. Step 4: Simplify right side
    39,620.16x = 708,273,694.08
  5. Step 5: Solve for x
    x = 708,273,694.08/39,620.16
  6. Step 6: Final answer
    x = 17,876.60

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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.