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Finding the Fourth Proportional to 20,735.41, 31,102.16 and 6,696.08

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Solution

The fourth proportional to 20,735.41, 31,102.16 and 6,696.08 is: 10,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.41 : 31,102.16 = 6,696.08 : x
  2. Step 2: Convert to fraction form
    20,735.41/31,102.16 = 6,696.08/x
  3. Step 3: Cross multiply
    20,735.41x = 31,102.16 × 6,696.08
  4. Step 4: Simplify right side
    20,735.41x = 208,262,551.53
  5. Step 5: Solve for x
    x = 208,262,551.53/20,735.41
  6. Step 6: Final answer
    x = 10,043.81

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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.