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Finding the Fourth Proportional to 20,785.56, 31,188.77 and 9,693.12

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Solution

The fourth proportional to 20,785.56, 31,188.77 and 9,693.12 is: 14,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.56 : 31,188.77 = 9,693.12 : x
  2. Step 2: Convert to fraction form
    20,785.56/31,188.77 = 9,693.12/x
  3. Step 3: Cross multiply
    20,785.56x = 31,188.77 × 9,693.12
  4. Step 4: Simplify right side
    20,785.56x = 302,316,441.80
  5. Step 5: Solve for x
    x = 302,316,441.80/20,785.56
  6. Step 6: Final answer
    x = 14,544.54

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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.