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Finding the Fourth Proportional to 19,506.40, 29,288.40 and 13,688.80

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Solution

The fourth proportional to 19,506.40, 29,288.40 and 13,688.80 is: 20,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.40 : 29,288.40 = 13,688.80 : x
  2. Step 2: Convert to fraction form
    19,506.40/29,288.40 = 13,688.80/x
  3. Step 3: Cross multiply
    19,506.40x = 29,288.40 × 13,688.80
  4. Step 4: Simplify right side
    19,506.40x = 400,923,049.92
  5. Step 5: Solve for x
    x = 400,923,049.92/19,506.40
  6. Step 6: Final answer
    x = 20,553.41

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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.