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Finding the Fourth Proportional to 14,253.68, 21,380.16 and 3,865.16

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Solution

The fourth proportional to 14,253.68, 21,380.16 and 3,865.16 is: 5,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.68 : 21,380.16 = 3,865.16 : x
  2. Step 2: Convert to fraction form
    14,253.68/21,380.16 = 3,865.16/x
  3. Step 3: Cross multiply
    14,253.68x = 21,380.16 × 3,865.16
  4. Step 4: Simplify right side
    14,253.68x = 82,637,739.23
  5. Step 5: Solve for x
    x = 82,637,739.23/14,253.68
  6. Step 6: Final answer
    x = 5,797.64

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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.