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Finding the Fourth Proportional to 21,291.34, 31,949.32 and 9,604.56

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Solution

The fourth proportional to 21,291.34, 31,949.32 and 9,604.56 is: 14,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.34 : 31,949.32 = 9,604.56 : x
  2. Step 2: Convert to fraction form
    21,291.34/31,949.32 = 9,604.56/x
  3. Step 3: Cross multiply
    21,291.34x = 31,949.32 × 9,604.56
  4. Step 4: Simplify right side
    21,291.34x = 306,859,160.90
  5. Step 5: Solve for x
    x = 306,859,160.90/21,291.34
  6. Step 6: Final answer
    x = 14,412.39

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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.