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Finding the Fourth Proportional to 14,852.22, 20,495.16 and 8,136.50

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Solution

The fourth proportional to 14,852.22, 20,495.16 and 8,136.50 is: 11,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.22 : 20,495.16 = 8,136.50 : x
  2. Step 2: Convert to fraction form
    14,852.22/20,495.16 = 8,136.50/x
  3. Step 3: Cross multiply
    14,852.22x = 20,495.16 × 8,136.50
  4. Step 4: Simplify right side
    14,852.22x = 166,758,869.34
  5. Step 5: Solve for x
    x = 166,758,869.34/14,852.22
  6. Step 6: Final answer
    x = 11,227.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.