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Finding the Fourth Proportional to 13,451.94, 20,140.99 and 9,281.59

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Solution

The fourth proportional to 13,451.94, 20,140.99 and 9,281.59 is: 13,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.94 : 20,140.99 = 9,281.59 : x
  2. Step 2: Convert to fraction form
    13,451.94/20,140.99 = 9,281.59/x
  3. Step 3: Cross multiply
    13,451.94x = 20,140.99 × 9,281.59
  4. Step 4: Simplify right side
    13,451.94x = 186,940,337.82
  5. Step 5: Solve for x
    x = 186,940,337.82/13,451.94
  6. Step 6: Final answer
    x = 13,896.91

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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.