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Finding the Fourth Proportional to 14,459.64, 21,674.68 and 8,206.44

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Solution

The fourth proportional to 14,459.64, 21,674.68 and 8,206.44 is: 12,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.64 : 21,674.68 = 8,206.44 : x
  2. Step 2: Convert to fraction form
    14,459.64/21,674.68 = 8,206.44/x
  3. Step 3: Cross multiply
    14,459.64x = 21,674.68 × 8,206.44
  4. Step 4: Simplify right side
    14,459.64x = 177,871,960.94
  5. Step 5: Solve for x
    x = 177,871,960.94/14,459.64
  6. Step 6: Final answer
    x = 12,301.27

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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.