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Finding the Fourth Proportional to 19,729.96, 27,232.50 and 12,182.80

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Solution

The fourth proportional to 19,729.96, 27,232.50 and 12,182.80 is: 16,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.96 : 27,232.50 = 12,182.80 : x
  2. Step 2: Convert to fraction form
    19,729.96/27,232.50 = 12,182.80/x
  3. Step 3: Cross multiply
    19,729.96x = 27,232.50 × 12,182.80
  4. Step 4: Simplify right side
    19,729.96x = 331,768,101
  5. Step 5: Solve for x
    x = 331,768,101/19,729.96
  6. Step 6: Final answer
    x = 16,815.45

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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.