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Finding the Fourth Proportional to 21,237.21, 31,855.89 and 6,446.25

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Solution

The fourth proportional to 21,237.21, 31,855.89 and 6,446.25 is: 9,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.21 : 31,855.89 = 6,446.25 : x
  2. Step 2: Convert to fraction form
    21,237.21/31,855.89 = 6,446.25/x
  3. Step 3: Cross multiply
    21,237.21x = 31,855.89 × 6,446.25
  4. Step 4: Simplify right side
    21,237.21x = 205,351,030.91
  5. Step 5: Solve for x
    x = 205,351,030.91/21,237.21
  6. Step 6: Final answer
    x = 9,669.40

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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.