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Finding the Fourth Proportional to 21,876.71, 30,192.12 and 13,384.49

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Solution

The fourth proportional to 21,876.71, 30,192.12 and 13,384.49 is: 18,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.71 : 30,192.12 = 13,384.49 : x
  2. Step 2: Convert to fraction form
    21,876.71/30,192.12 = 13,384.49/x
  3. Step 3: Cross multiply
    21,876.71x = 30,192.12 × 13,384.49
  4. Step 4: Simplify right side
    21,876.71x = 404,105,977.26
  5. Step 5: Solve for x
    x = 404,105,977.26/21,876.71
  6. Step 6: Final answer
    x = 18,471.98

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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.