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Finding the Fourth Proportional to 21,221.40, 31,840.29 and 6,430.44

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Solution

The fourth proportional to 21,221.40, 31,840.29 and 6,430.44 is: 9,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.40 : 31,840.29 = 6,430.44 : x
  2. Step 2: Convert to fraction form
    21,221.40/31,840.29 = 6,430.44/x
  3. Step 3: Cross multiply
    21,221.40x = 31,840.29 × 6,430.44
  4. Step 4: Simplify right side
    21,221.40x = 204,747,074.43
  5. Step 5: Solve for x
    x = 204,747,074.43/21,221.40
  6. Step 6: Final answer
    x = 9,648.14

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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.