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Finding the Fourth Proportional to 20,806.36, 31,176.76 and 7,640.64

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Solution

The fourth proportional to 20,806.36, 31,176.76 and 7,640.64 is: 11,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.36 : 31,176.76 = 7,640.64 : x
  2. Step 2: Convert to fraction form
    20,806.36/31,176.76 = 7,640.64/x
  3. Step 3: Cross multiply
    20,806.36x = 31,176.76 × 7,640.64
  4. Step 4: Simplify right side
    20,806.36x = 238,210,399.53
  5. Step 5: Solve for x
    x = 238,210,399.53/20,806.36
  6. Step 6: Final answer
    x = 11,448.92

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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.