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Finding the Fourth Proportional to 13,530.12, 18,661.23 and 11,644.80

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Solution

The fourth proportional to 13,530.12, 18,661.23 and 11,644.80 is: 16,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.12 : 18,661.23 = 11,644.80 : x
  2. Step 2: Convert to fraction form
    13,530.12/18,661.23 = 11,644.80/x
  3. Step 3: Cross multiply
    13,530.12x = 18,661.23 × 11,644.80
  4. Step 4: Simplify right side
    13,530.12x = 217,306,291.10
  5. Step 5: Solve for x
    x = 217,306,291.10/13,530.12
  6. Step 6: Final answer
    x = 16,060.93

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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.