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Finding the Fourth Proportional to 13,575.33, 18,728.21 and 9,100.49

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Solution

The fourth proportional to 13,575.33, 18,728.21 and 9,100.49 is: 12,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.33 : 18,728.21 = 9,100.49 : x
  2. Step 2: Convert to fraction form
    13,575.33/18,728.21 = 9,100.49/x
  3. Step 3: Cross multiply
    13,575.33x = 18,728.21 × 9,100.49
  4. Step 4: Simplify right side
    13,575.33x = 170,435,816.93
  5. Step 5: Solve for x
    x = 170,435,816.93/13,575.33
  6. Step 6: Final answer
    x = 12,554.82

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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.