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Finding the Fourth Proportional to 13,086.75, 18,052.70 and 9,100.94

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Solution

The fourth proportional to 13,086.75, 18,052.70 and 9,100.94 is: 12,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.75 : 18,052.70 = 9,100.94 : x
  2. Step 2: Convert to fraction form
    13,086.75/18,052.70 = 9,100.94/x
  3. Step 3: Cross multiply
    13,086.75x = 18,052.70 × 9,100.94
  4. Step 4: Simplify right side
    13,086.75x = 164,296,403.77
  5. Step 5: Solve for x
    x = 164,296,403.77/13,086.75
  6. Step 6: Final answer
    x = 12,554.41

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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.