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Finding the Fourth Proportional to 20,954.65, 31,429.14 and 8,304.22

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Solution

The fourth proportional to 20,954.65, 31,429.14 and 8,304.22 is: 12,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.65 : 31,429.14 = 8,304.22 : x
  2. Step 2: Convert to fraction form
    20,954.65/31,429.14 = 8,304.22/x
  3. Step 3: Cross multiply
    20,954.65x = 31,429.14 × 8,304.22
  4. Step 4: Simplify right side
    20,954.65x = 260,994,492.97
  5. Step 5: Solve for x
    x = 260,994,492.97/20,954.65
  6. Step 6: Final answer
    x = 12,455.21

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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.