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Finding the Fourth Proportional to 13,661.81, 20,511.58 and 9,435.14

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Solution

The fourth proportional to 13,661.81, 20,511.58 and 9,435.14 is: 14,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.81 : 20,511.58 = 9,435.14 : x
  2. Step 2: Convert to fraction form
    13,661.81/20,511.58 = 9,435.14/x
  3. Step 3: Cross multiply
    13,661.81x = 20,511.58 × 9,435.14
  4. Step 4: Simplify right side
    13,661.81x = 193,529,628.92
  5. Step 5: Solve for x
    x = 193,529,628.92/13,661.81
  6. Step 6: Final answer
    x = 14,165.74

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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.