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Finding the Fourth Proportional to 13,457.40, 20,166.90 and 9,919.80

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Solution

The fourth proportional to 13,457.40, 20,166.90 and 9,919.80 is: 14,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.40 : 20,166.90 = 9,919.80 : x
  2. Step 2: Convert to fraction form
    13,457.40/20,166.90 = 9,919.80/x
  3. Step 3: Cross multiply
    13,457.40x = 20,166.90 × 9,919.80
  4. Step 4: Simplify right side
    13,457.40x = 200,051,614.62
  5. Step 5: Solve for x
    x = 200,051,614.62/13,457.40
  6. Step 6: Final answer
    x = 14,865.55

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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.