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Finding the Fourth Proportional to 20,906.60, 31,343.44 and 14,312.80

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Solution

The fourth proportional to 20,906.60, 31,343.44 and 14,312.80 is: 21,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.60 : 31,343.44 = 14,312.80 : x
  2. Step 2: Convert to fraction form
    20,906.60/31,343.44 = 14,312.80/x
  3. Step 3: Cross multiply
    20,906.60x = 31,343.44 × 14,312.80
  4. Step 4: Simplify right side
    20,906.60x = 448,612,388.03
  5. Step 5: Solve for x
    x = 448,612,388.03/20,906.60
  6. Step 6: Final answer
    x = 21,457.93

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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.