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Finding the Fourth Proportional to 12,221.85, 18,321.06 and 3,897.27

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Solution

The fourth proportional to 12,221.85, 18,321.06 and 3,897.27 is: 5,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.85 : 18,321.06 = 3,897.27 : x
  2. Step 2: Convert to fraction form
    12,221.85/18,321.06 = 3,897.27/x
  3. Step 3: Cross multiply
    12,221.85x = 18,321.06 × 3,897.27
  4. Step 4: Simplify right side
    12,221.85x = 71,402,117.51
  5. Step 5: Solve for x
    x = 71,402,117.51/12,221.85
  6. Step 6: Final answer
    x = 5,842.17

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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.