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Finding the Fourth Proportional to 19,709.40, 29,563.32 and 13,424.49

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Solution

The fourth proportional to 19,709.40, 29,563.32 and 13,424.49 is: 20,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.40 : 29,563.32 = 13,424.49 : x
  2. Step 2: Convert to fraction form
    19,709.40/29,563.32 = 13,424.49/x
  3. Step 3: Cross multiply
    19,709.40x = 29,563.32 × 13,424.49
  4. Step 4: Simplify right side
    19,709.40x = 396,872,493.71
  5. Step 5: Solve for x
    x = 396,872,493.71/19,709.40
  6. Step 6: Final answer
    x = 20,136.20

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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.