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Finding the Fourth Proportional to 18,223.74, 27,320.81 and 7,686.95

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Solution

The fourth proportional to 18,223.74, 27,320.81 and 7,686.95 is: 11,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.74 : 27,320.81 = 7,686.95 : x
  2. Step 2: Convert to fraction form
    18,223.74/27,320.81 = 7,686.95/x
  3. Step 3: Cross multiply
    18,223.74x = 27,320.81 × 7,686.95
  4. Step 4: Simplify right side
    18,223.74x = 210,013,525.39
  5. Step 5: Solve for x
    x = 210,013,525.39/18,223.74
  6. Step 6: Final answer
    x = 11,524.17

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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.