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Finding the Fourth Proportional to 13,639.80, 20,446.68 and 7,785.12

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Solution

The fourth proportional to 13,639.80, 20,446.68 and 7,785.12 is: 11,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,639.80 : 20,446.68 = 7,785.12 : x
  2. Step 2: Convert to fraction form
    13,639.80/20,446.68 = 7,785.12/x
  3. Step 3: Cross multiply
    13,639.80x = 20,446.68 × 7,785.12
  4. Step 4: Simplify right side
    13,639.80x = 159,179,857.40
  5. Step 5: Solve for x
    x = 159,179,857.40/13,639.80
  6. Step 6: Final answer
    x = 11,670.25

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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.