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Finding the Fourth Proportional to 21,678.49, 29,921.14 and 13,178.81

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Solution

The fourth proportional to 21,678.49, 29,921.14 and 13,178.81 is: 18,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.49 : 29,921.14 = 13,178.81 : x
  2. Step 2: Convert to fraction form
    21,678.49/29,921.14 = 13,178.81/x
  3. Step 3: Cross multiply
    21,678.49x = 29,921.14 × 13,178.81
  4. Step 4: Simplify right side
    21,678.49x = 394,325,147.39
  5. Step 5: Solve for x
    x = 394,325,147.39/21,678.49
  6. Step 6: Final answer
    x = 18,189.70

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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.