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Finding the Fourth Proportional to 18,206.64, 27,329.40 and 7,825.68

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Solution

The fourth proportional to 18,206.64, 27,329.40 and 7,825.68 is: 11,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.64 : 27,329.40 = 7,825.68 : x
  2. Step 2: Convert to fraction form
    18,206.64/27,329.40 = 7,825.68/x
  3. Step 3: Cross multiply
    18,206.64x = 27,329.40 × 7,825.68
  4. Step 4: Simplify right side
    18,206.64x = 213,871,138.99
  5. Step 5: Solve for x
    x = 213,871,138.99/18,206.64
  6. Step 6: Final answer
    x = 11,746.88

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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.