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Finding the Fourth Proportional to 13,853.99, 20,785.85 and 7,187.29

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Solution

The fourth proportional to 13,853.99, 20,785.85 and 7,187.29 is: 10,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.99 : 20,785.85 = 7,187.29 : x
  2. Step 2: Convert to fraction form
    13,853.99/20,785.85 = 7,187.29/x
  3. Step 3: Cross multiply
    13,853.99x = 20,785.85 × 7,187.29
  4. Step 4: Simplify right side
    13,853.99x = 149,393,870.90
  5. Step 5: Solve for x
    x = 149,393,870.90/13,853.99
  6. Step 6: Final answer
    x = 10,783.45

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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.