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Finding the Fourth Proportional to 14,259.52, 21,390.36 and 3,871

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Solution

The fourth proportional to 14,259.52, 21,390.36 and 3,871 is: 5,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.52 : 21,390.36 = 3,871 : x
  2. Step 2: Convert to fraction form
    14,259.52/21,390.36 = 3,871/x
  3. Step 3: Cross multiply
    14,259.52x = 21,390.36 × 3,871
  4. Step 4: Simplify right side
    14,259.52x = 82,802,083.56
  5. Step 5: Solve for x
    x = 82,802,083.56/14,259.52
  6. Step 6: Final answer
    x = 5,806.79

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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.