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Finding the Fourth Proportional to 21,424.80, 29,576.96 and 13,471.40

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Solution

The fourth proportional to 21,424.80, 29,576.96 and 13,471.40 is: 18,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.80 : 29,576.96 = 13,471.40 : x
  2. Step 2: Convert to fraction form
    21,424.80/29,576.96 = 13,471.40/x
  3. Step 3: Cross multiply
    21,424.80x = 29,576.96 × 13,471.40
  4. Step 4: Simplify right side
    21,424.80x = 398,443,058.94
  5. Step 5: Solve for x
    x = 398,443,058.94/21,424.80
  6. Step 6: Final answer
    x = 18,597.28

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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.