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Finding the Fourth Proportional to 14,459.39, 21,674.30 and 8,206.19

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Solution

The fourth proportional to 14,459.39, 21,674.30 and 8,206.19 is: 12,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.39 : 21,674.30 = 8,206.19 : x
  2. Step 2: Convert to fraction form
    14,459.39/21,674.30 = 8,206.19/x
  3. Step 3: Cross multiply
    14,459.39x = 21,674.30 × 8,206.19
  4. Step 4: Simplify right side
    14,459.39x = 177,863,336.06
  5. Step 5: Solve for x
    x = 177,863,336.06/14,459.39
  6. Step 6: Final answer
    x = 12,300.89

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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.