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Finding the Fourth Proportional to 13,429.87, 20,145 and 4,664.99

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Solution

The fourth proportional to 13,429.87, 20,145 and 4,664.99 is: 6,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.87 : 20,145 = 4,664.99 : x
  2. Step 2: Convert to fraction form
    13,429.87/20,145 = 4,664.99/x
  3. Step 3: Cross multiply
    13,429.87x = 20,145 × 4,664.99
  4. Step 4: Simplify right side
    13,429.87x = 93,976,223.55
  5. Step 5: Solve for x
    x = 93,976,223.55/13,429.87
  6. Step 6: Final answer
    x = 6,997.55

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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.