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Finding the Fourth Proportional to 14,232.06, 21,347.28 and 3,843

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Solution

The fourth proportional to 14,232.06, 21,347.28 and 3,843 is: 5,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.06 : 21,347.28 = 3,843 : x
  2. Step 2: Convert to fraction form
    14,232.06/21,347.28 = 3,843/x
  3. Step 3: Cross multiply
    14,232.06x = 21,347.28 × 3,843
  4. Step 4: Simplify right side
    14,232.06x = 82,037,597.04
  5. Step 5: Solve for x
    x = 82,037,597.04/14,232.06
  6. Step 6: Final answer
    x = 5,764.28

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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.