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Finding the Fourth Proportional to 12,221.84, 18,333.50 and 3,457.42

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Solution

The fourth proportional to 12,221.84, 18,333.50 and 3,457.42 is: 5,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.84 : 18,333.50 = 3,457.42 : x
  2. Step 2: Convert to fraction form
    12,221.84/18,333.50 = 3,457.42/x
  3. Step 3: Cross multiply
    12,221.84x = 18,333.50 × 3,457.42
  4. Step 4: Simplify right side
    12,221.84x = 63,386,609.57
  5. Step 5: Solve for x
    x = 63,386,609.57/12,221.84
  6. Step 6: Final answer
    x = 5,186.34

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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.