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Finding the Fourth Proportional to 20,706.30, 31,059.96 and 7,558.68

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Solution

The fourth proportional to 20,706.30, 31,059.96 and 7,558.68 is: 11,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.30 : 31,059.96 = 7,558.68 : x
  2. Step 2: Convert to fraction form
    20,706.30/31,059.96 = 7,558.68/x
  3. Step 3: Cross multiply
    20,706.30x = 31,059.96 × 7,558.68
  4. Step 4: Simplify right side
    20,706.30x = 234,772,298.45
  5. Step 5: Solve for x
    x = 234,772,298.45/20,706.30
  6. Step 6: Final answer
    x = 11,338.21

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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.