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Finding the Fourth Proportional to 20,178.65, 27,846.68 and 11,226.53

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Solution

The fourth proportional to 20,178.65, 27,846.68 and 11,226.53 is: 15,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.65 : 27,846.68 = 11,226.53 : x
  2. Step 2: Convert to fraction form
    20,178.65/27,846.68 = 11,226.53/x
  3. Step 3: Cross multiply
    20,178.65x = 27,846.68 × 11,226.53
  4. Step 4: Simplify right side
    20,178.65x = 312,621,588.42
  5. Step 5: Solve for x
    x = 312,621,588.42/20,178.65
  6. Step 6: Final answer
    x = 15,492.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.