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Finding the Fourth Proportional to 39,696.77, 59,544.54 and 13,419.96

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Solution

The fourth proportional to 39,696.77, 59,544.54 and 13,419.96 is: 20,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696.77 : 59,544.54 = 13,419.96 : x
  2. Step 2: Convert to fraction form
    39,696.77/59,544.54 = 13,419.96/x
  3. Step 3: Cross multiply
    39,696.77x = 59,544.54 × 13,419.96
  4. Step 4: Simplify right side
    39,696.77x = 799,085,345.02
  5. Step 5: Solve for x
    x = 799,085,345.02/39,696.77
  6. Step 6: Final answer
    x = 20,129.73

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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.