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Finding the Fourth Proportional to 14,233.54, 21,348.12 and 4,871.41

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Solution

The fourth proportional to 14,233.54, 21,348.12 and 4,871.41 is: 7,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.54 : 21,348.12 = 4,871.41 : x
  2. Step 2: Convert to fraction form
    14,233.54/21,348.12 = 4,871.41/x
  3. Step 3: Cross multiply
    14,233.54x = 21,348.12 × 4,871.41
  4. Step 4: Simplify right side
    14,233.54x = 103,995,471.93
  5. Step 5: Solve for x
    x = 103,995,471.93/14,233.54
  6. Step 6: Final answer
    x = 7,306.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.