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Finding the Fourth Proportional to 12,852.09, 17,737.79 and 8,136.81

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Solution

The fourth proportional to 12,852.09, 17,737.79 and 8,136.81 is: 11,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.09 : 17,737.79 = 8,136.81 : x
  2. Step 2: Convert to fraction form
    12,852.09/17,737.79 = 8,136.81/x
  3. Step 3: Cross multiply
    12,852.09x = 17,737.79 × 8,136.81
  4. Step 4: Simplify right side
    12,852.09x = 144,328,986.37
  5. Step 5: Solve for x
    x = 144,328,986.37/12,852.09
  6. Step 6: Final answer
    x = 11,230.00

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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.