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Finding the Fourth Proportional to 23,205.94, 31,999.98 and 13,772.68

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Solution

The fourth proportional to 23,205.94, 31,999.98 and 13,772.68 is: 18,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.94 : 31,999.98 = 13,772.68 : x
  2. Step 2: Convert to fraction form
    23,205.94/31,999.98 = 13,772.68/x
  3. Step 3: Cross multiply
    23,205.94x = 31,999.98 × 13,772.68
  4. Step 4: Simplify right side
    23,205.94x = 440,725,484.55
  5. Step 5: Solve for x
    x = 440,725,484.55/23,205.94
  6. Step 6: Final answer
    x = 18,991.93

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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.