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Finding the Fourth Proportional to 19,678.02, 27,154.80 and 11,180.12

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Solution

The fourth proportional to 19,678.02, 27,154.80 and 11,180.12 is: 15,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.02 : 27,154.80 = 11,180.12 : x
  2. Step 2: Convert to fraction form
    19,678.02/27,154.80 = 11,180.12/x
  3. Step 3: Cross multiply
    19,678.02x = 27,154.80 × 11,180.12
  4. Step 4: Simplify right side
    19,678.02x = 303,593,786.80
  5. Step 5: Solve for x
    x = 303,593,786.80/19,678.02
  6. Step 6: Final answer
    x = 15,428.07

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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.