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Finding the Fourth Proportional to 18,135.64, 27,178.14 and 9,797.68

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Solution

The fourth proportional to 18,135.64, 27,178.14 and 9,797.68 is: 14,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135.64 : 27,178.14 = 9,797.68 : x
  2. Step 2: Convert to fraction form
    18,135.64/27,178.14 = 9,797.68/x
  3. Step 3: Cross multiply
    18,135.64x = 27,178.14 × 9,797.68
  4. Step 4: Simplify right side
    18,135.64x = 266,282,718.72
  5. Step 5: Solve for x
    x = 266,282,718.72/18,135.64
  6. Step 6: Final answer
    x = 14,682.84

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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.