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Finding the Fourth Proportional to 36,822.84, 55,243.08 and 11,865.24

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Solution

The fourth proportional to 36,822.84, 55,243.08 and 11,865.24 is: 17,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,822.84 : 55,243.08 = 11,865.24 : x
  2. Step 2: Convert to fraction form
    36,822.84/55,243.08 = 11,865.24/x
  3. Step 3: Cross multiply
    36,822.84x = 55,243.08 × 11,865.24
  4. Step 4: Simplify right side
    36,822.84x = 655,472,402.54
  5. Step 5: Solve for x
    x = 655,472,402.54/36,822.84
  6. Step 6: Final answer
    x = 17,800.70

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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.