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Finding the Fourth Proportional to 18,523.98, 27,785.84 and 15,744.06

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Solution

The fourth proportional to 18,523.98, 27,785.84 and 15,744.06 is: 23,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.98 : 27,785.84 = 15,744.06 : x
  2. Step 2: Convert to fraction form
    18,523.98/27,785.84 = 15,744.06/x
  3. Step 3: Cross multiply
    18,523.98x = 27,785.84 × 15,744.06
  4. Step 4: Simplify right side
    18,523.98x = 437,461,853.39
  5. Step 5: Solve for x
    x = 437,461,853.39/18,523.98
  6. Step 6: Final answer
    x = 23,615.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.