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Finding the Fourth Proportional to 18,521.40, 27,782.10 and 7,429.80

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Solution

The fourth proportional to 18,521.40, 27,782.10 and 7,429.80 is: 11,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,521.40 : 27,782.10 = 7,429.80 : x
  2. Step 2: Convert to fraction form
    18,521.40/27,782.10 = 7,429.80/x
  3. Step 3: Cross multiply
    18,521.40x = 27,782.10 × 7,429.80
  4. Step 4: Simplify right side
    18,521.40x = 206,415,446.58
  5. Step 5: Solve for x
    x = 206,415,446.58/18,521.40
  6. Step 6: Final answer
    x = 11,144.70

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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.