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Finding the Fourth Proportional to 19,729.98, 27,223.70 and 12,182.81

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Solution

The fourth proportional to 19,729.98, 27,223.70 and 12,182.81 is: 16,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.98 : 27,223.70 = 12,182.81 : x
  2. Step 2: Convert to fraction form
    19,729.98/27,223.70 = 12,182.81/x
  3. Step 3: Cross multiply
    19,729.98x = 27,223.70 × 12,182.81
  4. Step 4: Simplify right side
    19,729.98x = 331,660,967.56
  5. Step 5: Solve for x
    x = 331,660,967.56/19,729.98
  6. Step 6: Final answer
    x = 16,810.00

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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.