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Finding the Fourth Proportional to 20,815.50, 31,233.50 and 9,720.58

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Solution

The fourth proportional to 20,815.50, 31,233.50 and 9,720.58 is: 14,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.50 : 31,233.50 = 9,720.58 : x
  2. Step 2: Convert to fraction form
    20,815.50/31,233.50 = 9,720.58/x
  3. Step 3: Cross multiply
    20,815.50x = 31,233.50 × 9,720.58
  4. Step 4: Simplify right side
    20,815.50x = 303,607,591.41
  5. Step 5: Solve for x
    x = 303,607,591.41/20,815.50
  6. Step 6: Final answer
    x = 14,585.65

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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.